Mathematics High School

Multiplying radicals. Simplify

Answers

Answer 1

Answer:

[tex]\sqrt[9]{10}[/tex]

Step-by-step explanation:

When you're multiplying radicals you start by multiplying inside the radical. Break it down so it's easier for you:

1. [tex]\sqrt{15}*\sqrt{6} = \sqrt{90}[/tex] beacause 15 * 6 = 90

2. The next step is to simplify that radical. You simplify by finding factors of that number. The factors of 90 are:

1 * 902* 453 * 305 * 186 * 159 * 10

You want to take the biggest factors of that number (yours is 9 * 10). After that you are going to break it down more. What are the factors of 9 and what are the factors of 10? Well the biggest factors of 9 are 3 * 3 and the biggest factors of 10 are 5 * 2, so 10 cannot be broken down anymore because it doesn't have two of the same numbers so 10 is going to stay the same, but 9 has two of the same number (3). What we're left with is [tex]\sqrt[3]{10}[/tex] because the same numbers stay out of the radical and the single number stays inside.

3. We can't forget about the 3 that we left out, so what we're going to do is write [tex]3 *\sqrt[3]{10}[/tex]. When you multiply that out you keep the outside with the outisde which results in the answer being [tex]\sqrt[9]{10}[/tex] because this cannot be simplified anymore.

Related Questions

(-x + 3) + (4x - 10)

Answers

the correct answer is 3x-7

this is so simple, 3x-7

Four times a number, decreased by 2, is 8 more than the product of six and the number.
Find the number.

Answers

Answer:

-5

Step-by-step explanation:

4x -2 = 8 + 6x

-2x = 10

x = -5

what is the value of x? 48°(3x + 6)

Answers

Answer:

No clue

Step-by-step explanation:

Find the factors of f(x) given that x = 5 is a zero.
f(x) = x3 − 6x2 − x + 30.

(x − 5)(x + 3)(x − 2)
(x − 5)(x − 3)(x + 2)
(x + 5)(x − 3)(x + 2)
(x + 5)(x + 3)(x − 2)

Answers

If x = 5 is a zero of the given polynomial, then,(x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]Now, divide the polynomial with (x - 5) using long division method. (See the picture)We get (x^2 - x - 6) as the quotient.Now, factorise the above polynomial:(x^2 - x - 6) = (x^2 - 3x + 2x - 6) = x(x - 3) + 2(x - 3)= (x - 3)(x + 2)Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)

Answer:

B.(x − 5)(x − 3)(x + 2)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Which expression has a sum of 1 2/21

A. 3/7 + 2/3
B. 4/7 + 1/3
C. 5/7 + 2/3
D. 6/7 + 1/3

Answers

Answer:

A. is the answer

Step-by-step explanation:

the LCM of 7 and 3 is 21.

When added it would be 9+14 =23

23/21= 1 2/21

how do you think I'm NOW

Answers

Answer:

u are u and u and u and u and u

the two triangles below are similar.

Answers

Answer:

Step-by-step explanation:

yes they are just a rotated triangle

Marcy's breakfast table has a square top
with an area of 36 square feet. What is the
diagonal length of the tabletop?

Answers

Answer: 6

As your figure is a square all sides must be the same so it would be 6 squared which comes out to 36

Answer:

scroll

Step-by-step explanation:

√36 = 6

a^2 + b^2 = c^2

6^2 + 6^2 = c^2

36 + 36 = c^2

72 = c^2

√72 = c

6√2 = c

6√2 = V

(Estimate rounded = 8.49)

-2a
0b
-2
× -5b
4
× -b

Answers

Answer:

Step-by-step explanation:

Army DA administrative publications and forms by the Army Publishing Directorate APD. The latest technologies high quality electronic pubs and forms view ...

What is the quotient of 8.44 and 0.04?
10 pts

Answers

8.44/0.04=211

hope this helps!

Answer:

211

Step-by-step explanation:

8.44 divided by 0.04 = 211

If tanx = 0.75, what is the value of cosx + sinx ?

Answers

cosine (x) = 4 over 5
cos
(
x
)
=
4
5
Explanation:
First you must apply sohcahtoa
it means
sine = opposite side over hypotenuse
sine = opposite/hypotenuse
cosine = adjacent side over hypotenuse
cosine = adjacent/hypotenuse
tangent = opposite side over adjacent side
tangent = opposite/adjacent
then
solve the unknown by applying the Right Triangle Theorem.
draw a right triangle.
label the parts where
a
is the opposite side
b
is the adjacent side
c is the hypotenuse
Solve the unknown. The hypotenuse using
a
2
+
b
2
=
c
2

since the given
tan
x
=
3
4

it means
tan = opposite/adjacent
a
= opposite side =
3

b
= adjacent side =
4

c
= hypotenuse = ??
a
2
+
b
2
=
c
2

substitute the value
(
3
)
2
+
(
4
)
2
=
c
2

9
+
16
=
c
2

25
=
c
2

get the square root of
25

it is equal to
5

therefore
c
=
5

c
= hypotenuse =
5

cos
= adjacent/hypotenuse
cos
(
x
)
=
4
over
5

cos
(
x
)
=
4
5

Answer:

theta is eq to 36.86 value is. 0.5998+0.8=1.399

Someone please help

Answers

i would guess the answer is 1 since that’s where b is on the other side

10 A seal pup gains 28% of its birth weight each
day for the first 10 days of its life.
A one-day-old pup weighs 17.92 kg.
How much did it weigh at birth?

Answers

Answer:

WEIGHT

550 to 880 pounds

LIFESPAN

25 to 35 years

LENGTH

7.5 to 10 feet

THREATS

Entanglement, harassment, chemical contaminants, oil spills and energy exploration, vessel and vehicle interactions

REGION

New England/Mid-Atlantic

Step-by-step explanation:

Hmm so a pup gains 28% weight every day for the next 10 days.. But a day old puppy weight 17.92kg sooo

28%+10every day=10.28

17.92-28%=12.9

17.92x10=179.2

Hmmmm

Well a seal pup weights 8-12kg on birth so ye I was right anweser is 12

GIVING BRAINLIEST. please help.

Answers

OK ILL HELP

Its the first option

PLEASE HELP!!! Can someone help me figure this out

Answers

Answer:

Step-by-step explanation:

x^2 = 5x + 24 Transfer (subtract) 5x + 24 to the left.

x^2 - 5x - 24 = 5x-5x+24 -24

x^2 - 5x - 24 = 0 This does factor. -8 and 3 are your factors.

(x - 8)*(x + 3) = 0

So if x - 8 = 0

then x - 8 + 8 = 0 + 8

x = 8

If x + 3 = 0

then x = - 3

Are these both correct?

x^2 = 5x + 24

x = 8

8^2 = 5*8 + 24

64 = 40 + 24

64 = 64

and x - 8 is a factor

x^2 = 5x + 24

x = - 3

(-3)^2 = 5 * -3 + 24

9 = -15 + 24

9 = 9

And x + 3 is a correct factor

What is this expression in simplest form?

Answers

Answer:

A. 1÷(X+1) (x-2)

some steps are directly

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PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT

Answers

Answer:

sin =5/3

tan = sin/cos= 3/5/5/3=1

Step-by-step explanation:

you haven't game me much to work with but sin= opp/adj and cos= adj/opp so there you go

What do the following two equations represent?
9-3 = 2(x – 3)
y+5 2(+ 1)
Choose 1 answer:
The same line
ons
Distinct parallel lines
Perpendicular lines
Intersecting, but not perpendicular lines
HELP

Answers

Answer:

Intersecting but not perpendicular

Step-by-step explanation:

Assuming you forgot to add the = between y+5 and 2(1)

Since there is a opposite single variable in either equation the lines will intersect but not be perpendicular

evaluate the expression 16.78-12.237

Answers

Answer: The answer to the expression is 4.543.

Answer : 4.543

Step-by-step explanation :

First step, subtract . . . what is 16.78 minus 12.237 ? 4.543

BRAINLIEST 87x89 PLEASE

Answers

Answer:

7743 caught you again lolllll

=7743

Hope you find this helpful!
Brainliest and a like is much appreciated!

i cant fail this class

Answers

Answer:

what are you asking?

Step-by-step explanation:

A motor-boat takes the same time to travel 80 miles downstream as it takes to travel 60 miles upstream. If the speed of the stream is 5 miles/hr, find the speed of the motor-boat in still water.

Answers

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let a represent the speed of the motor boat in still water and t represent the time. Hence for downstream:

a + 5 = 80/t

t = 80/(a + 5)

For upstream:

a - 5 = 60/t

a - 5 = 60 / (80/(a + 5))

a - 5 = 0.75a + 3.75

0.25a = 8.75

a = 35 miles per hour

The speed of the motor-boat in still water is 35 miles per hour.

Find out more on speed at: https://brainly.com/question/751218

Help me plz plz plz plz plz plz plz plz plz plz plz

Answers

It’s a ok sir so please put the answer

please help me with this

Answers

Answer: 3Z

Step-by-step explanation:

The nth term of the sequence 27,37,47

Answers

Answer: The 9th term of the sequence 27,37,47 is 107.

does anyone have an answer to this question?

Answers

Answer:

8.9 cm to 1 dec. place.

Step-by-step explanation:

First, use Pythagoras to find the length of BD.

BD^2 = 6^2 + 7^2 = 85

BD = √85.

BM = √85 / 2.

Consider the triangle TBM, by Pythagoras:

TB^2 = BM^2 + MT^2

MT^2 = 10^2 - (√85 / 2 )^2

= 100 - 21.25

= 78.75.

MT = 8.874

a lakeis 200ft wide. two boats start to move towards one another from opposite shores.In one minute ,the first boat goes 40 ft and the second one goes 30 ft they are very slow! what would be the distance between the boats after 1 minute

Answers

The distance between the boats after 1 minute would be 130 ft.

Given that a lake is 200ft wide, and two boats start to move towards one another from opposite shores, and in one minute, the first boat goes 40 ft and the second one goes 30 ft, to determine what would be the distance between the boats after 1 minute the following calculation must be performed:

Total width - boat distance 1 - boat distance 2 = Distance after 1 minute 200 - 40 - 30 = X 130 = X

Therefore, the distance between the boats after 1 minute would be 130 ft.

Learn more about maths in https://brainly.com/question/25808345

solve (2x + 5)= (2x + 3)(2x - 1)

Answers

[tex](2x + 5)= (2x + 3)(2x - 1)\\<=>2x+5=4x^2-2x+6x-3\\<=>4x^2-2x+6x-3-2x-5=0\\<=>4x^2+2x-8=0\\<=>(4x+1-\sqrt{33})( 4x+1+\sqrt{33})=0 \\<=> x=\frac{-1+\sqrt{33} }{4} /or/x=\frac{-1-\sqrt{33} }{4}[/tex]

Answer:

x = -1± sqrt( 33)

----------------------------

Step-by-step explanation:

(2x + 5)= (2x + 3)(2x - 1)

Distribute

2x+5 = 4x^2 +6x-2x-3

Combine like terms

2x+5 = 4x^2 +4x -3

Subtract 2x +5 from each side

0 = 4x^2 +4x-3-2x-5

Combine like terms

0 =4x^2 +2x -8

Using the quadratic formula

a=4 b=2 c=-8

x = -b± sqrt( b^2-4ac)

----------------------------

x = -2± sqrt( 2^2-4(4)(-8))

----------------------------

2(4)

x = -2± sqrt( 4+128)

----------------------------

x = -2± sqrt( 132)

----------------------------

x = -2± 2sqrt( 33)

----------------------------

x = -1± sqrt( 33)

----------------------------

Here is a free 100 points annnnd brainliest

This question is about strategy
Skill
Precision

Alr here it is:
Problem one: Molly bought and infinite amount of bottles of dish soap. She had an infinite amount of money. When she bought the dish soap, she lost all of it.

How is this possible?

Problem one (part two): Molly then called her friend Blitzo over. Blitzo then gave Molly and infinite amount of money without losing all of his money.

How is this possible

If you have questions or want hints, ask in comments below this question

Answers

1. She bought the infinite dish soap with her money

2. you can't lose anything infinite

3. remeber our deal? brainliest pls.

Please help I need help by the end of today

Answers

Answer:

A. x = 7, y = 3

Step-by-step explanation:

The triangles are congruent by HL if the hypotenuses are congruent, and if the marked legs are congruent.

3x -1 = 6y +2 . . . . hypotenuses are congruent

2x = 5y -1 . . . . . . .legs are congruent

Subtracting 2 times the first equation from 3 times the second gives ...

3(2x) -2(3x -1) = 3(5y -1) -2(6y +2)

6x -6x +2 = 15y -3 -12y -4

9 = 3y . . . . . . . . . . . add 7 and simplify

y = 3 . . . . . . . . divide by 3

This value of y matches only answer choice A.

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