Find the square root of 1764 using prime factorization with explanation and solution.

Answers

Answer 1

Answer:

42

Step-by-step explanation:

The product of the prime factors of 1764 is

1764 = 2² × 3² × 7² , thus

[tex]\sqrt{1764}[/tex]

= [tex]\sqrt{2^{2}(3^{2} )(7^{2} ) }[/tex]

= [tex]\sqrt{2^{2} }[/tex] × [tex]\sqrt{3^{2} }[/tex] × [tex]\sqrt{7^{2} }[/tex]

= 2 × 3 × 7

= 42


Related Questions

7 divided by what equals 56?

Answers

Answer:

the answer is 8 very easy and very simple have a great

day ☺️

The answer is 8 that’s very simple lol

Rajeev has three times the number of oranges as
Sanjeev. Together, they have 28 oranges.
How many oranges does Sanjeev have?

Answers

Answer:

7

Step-by-step explanation:

let sanjeevs no of oranges be x

rajeevs no of oranges=3x

total=4x=28

x=28/4

=7

sanjeevs oranges=7

while rajeevs oranges=3*7

=21

Does anyone know the answer to this?

Answers

Answer:

(B) The exponents should be subtracted by the quotient rule of exponents

Step-by-step explanation:

Let's examine how this was solved.

[tex](\frac{4^2 4^3}{4^{-5}})^2[/tex]

He first rose everything in the parentheses to the second power, which is just multiplying all the exponents by 2. This is correct.

[tex]\frac{4^4 4^6}{4^{-10}}[/tex]

He then combined the numerator exponents. Exponent rules say that [tex]a^b \cdot a^c = a^b+c[/tex], so he should have ended up with [tex]4^{10}[/tex], which he did. This is correct.

[tex]\frac{4^{10}}{4^{-10}}[/tex]

Now, what he did in the final step is wrong. He added the exponents. However, exponent rules tell us that when we have [tex]\frac{a^b}{a^c}[/tex], it equals [tex]a^{b-c}[/tex].

[tex]10 - (-10) = 10+10 = 20[/tex]

So the final answer should have been [tex]4^{20}[/tex]

Hope this helped!



Point M is the midpoint of segment PR. If PM= 4x - 12 and MR =2x + 21, solve for x and determine the measure of segment PR
Set up an equation to solve for x.

Answers

Answer:

x=4.5

Step-by-step explanation:

pm is equal to mr so you can set the equations to equal each other and solve

what is the value of x/yz if x=-2 y=-3 & z=-4?

Answers

Answer:

- 1/3

Step-by-step explanation:

-2/-3(-4)=

-2/12=

-1/3

Levar is four years older than Danny. Together, their ages add up to 60 . Write an equation to find how old Danny is , using ? To represent his age.

Answers

Answer:

2x+4=60

Step-by-step explanation:

let X represent Danny's age.

and X+4 represent Levar's age since he's 4 years older than Danny we add 4.

subtract 4 from both sides and then divide by 2 and Danny's age is 28 and Levar is 32

help me pls i need help pls omg omg

Answers

Answer:

eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

Answer:

I think it's A) <1 and <2

Step-by-step explanation:

I am not 100% on this, but Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In the figure, ∠1 and ∠2 are adjacent angles. They share the same vertex and the same common side.

Cookie the dog is getting ready to go on a trip to Mexico. In Texas, she weighs 35 pounds. If someone were to weigh her in Mexico, how many kilograms would she weigh? There are approximately 0.45 kilograms in 1 pound.
I need help

Answers

Answer: 15.876kg

Step-by-step explanation:

Explain why this is not a function

Answers

Answer:

Because a range cannot have more than one domain number

Step-by-step explanation:

17 is in the domain twice

This is not a function because a range cannot have more than one domain

Express 48^(1/4) in simplest radical form.

Answers

Answer:

[tex]2\sqrt[4]{3}[/tex]

Step-by-step explanation:

[tex]48^\frac{1}{4} = \sqrt[4]{48}[/tex]

Expanding [tex]\sqrt[4]{48}[/tex] gives [tex]\sqrt[4]{2*2*2*2*3}[/tex] which is equal to [tex]2\sqrt[4]{3}[/tex]

-6x+8y-10x-8y
Show and explain work

Answers

Answer:

Simplify the expression.

−16x

Step-by-step explanation:

Using Linear Pairs to Find an Unknown Value
What is the value of x?
SEE
030
45
т
(3x)
55
70
R
O 60
W

Answers

Answer:

x=45

Step-by-step explanation:

I did it and got it right

write 0.006 8 4 in scientific notation​

Answers

Answer: 6.84 x 10^-3

Step-by-step explanation:

Answer:

[tex]6.84 \times 10 {}^{ - 3} \: \: \: is \: the \: scientific \: notation.[/tex]

2x - 4y + 7x - 87
Helppp

Answers

Answer:

9x-4y-87

Step-by-step explanation:

2x-4y+7x-87

9x-4y-87

Answer:

9x-4y-87

Step-by-step explanation:

7x+2x=9x

-4y has no similar variable

-87 has no similar variable

therefore the answer is 9x-4y-87

An isosceles triangle has two sides of equal length. The third side is 7 less than twice the length of one of the other sides. If the perimeter of the triangle is 44 cm, what is the length of the third side?

Answers

Answer:

x+x+7-x=44

x+7=44

x=44-7

x=37

Please I need help!!!

Answers

Answer:

10 1/2

Step-by-step explanation:

use  a calculater

Four kids race their bikes down the street. Evan finishes in 6.2,Devon in 6.0999 seconds,Liza in 6.188, and Tasha in 6.168 seconds. Which order shows the friends' times from fastest to slowest

Answers

Answer:

Devon, Tasha, Liza, Evan

Step-by-step explanation:

Devon is the fastest with 6.0999

Tasha is second fastest with 6.168

Liza is third fastest with 6.188

and Evan is the slowest with 6.2.

Which expression is a representation of the following:
+4
-7
A.4+ (-7) = - 3
B.7-4=3
C.4 + 7 = 11
D.4 + (-7) = 3

Answers

The correct expression is A.

2log50+2log2 sederhanakan dengan caranya

Answers

Answer:

4

Step-by-step explanation:

log(50×50)×log(2×2)

log (2500)×log(4)

log(2500×4)

log(10000)

log(10^4)

=4

SOMEONE PLEASE HELP ME QUESTION 5 2 PARTS IN THE PICTURE!!!!!

Answers

Answer:

  x ≥ 6; see below for a graph

Step-by-step explanation:

First inequality

  7x -6 > 8

  7x > 14 . . . . . . add 6

  x > 2 . . . . . . . .divide by 7

Second inequality

  3x+4 ≥ 22

  3x ≥ 18 . . . . . . subtract 4

  x ≥ 6 . . . . . . . . divide by 3

The values of x that will satisfy both inequalities are x ≥ 6. (All of those values are > 2.)

The solution to the inequalities is x ≥ 6.

__

Your graph will have a solid dot at x=6, indicating 6 is part of the solution set. It will be shaded to the right, with an arrow at the right end.

when you have an equation the the result of multiple property's, can all the property's be in one equation?

Answers

Answer:

Step-by-step explanation:

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

Don't try this. It is a double ugly equation. But you can see that you use the power property. You use the distributive property. You use addition and subtraction and division and multiplication to solve it.

Yes all the property’s could be in one equation

I do not get it pls help ASAP

Answers

Answer:

17 ft.

Step-by-step explanation:

just add all the values to get the perimeter.

Perimeter = 3ft +4+3+4+3

=17 feet

Therefore.., 17ft is the perimeter..

If this answer helps you plz mark as brainlist..

A volcano in the ocean rises approximately 14,000 feet above sea level. Its base is approximately 20,000 feet below sea level. What is the total height of the volcano?

Answers

Answer:

6,000 feet

Step-by-step explanation:

There were 52 problems on Petunia's last math test. She got
one-fourth of them wrong. How many questions did she get right?

Answers

Answer:13

Step-by-step explanation:

Solve and show your work. Plz :)

Answers

Answer:

Step-by-step explanation:

4[6(2+3)] _____ 125 - 5 * 1

4[6(5)] _____ 125 - 5 * 1

4[30] _____ 125 - 5 * 1

120 _____ 125 - 5 * 1

120 _____ 125 - 6

120 _____ 119

120 ≠ 119

Answer:

119.9

Step-by-step explanation:

Evaluate the function f(x) = 3 - 6x, when x=0.

a -3
b 0
c 3
d -57

Answers

Answer:

C

Step-by-step explanation:

f(0)= 3 - 6 (0)

f(0)= 3 - 0

f(0)= 3

Draw the graph of y= 2 - 1/2x
(Straight Line graphs)

Answers

Answer:

Slope: [tex]-\frac{1}{2}[/tex]

y-intercept: [tex](0,2)[/tex]

Look below for graph.

Step-by-step explanation:

[tex]y=2-\frac{1}{2}x\\y=\frac{-1}{2}x+2[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

The steps below show the solution to the equation 3 (2-2) = 2(x - 3).

Order the reasons for the steps. 3(2-2) = 2(2-3) 3(2) + 3(-2) = 2 (x) +2 (-3) (Select) 32 - 6 = 22 - 6 [Select] 3x - 2 = -6+6 Select) x=0 Select

Answers

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A class has 30 boys and 20 girls. The average age of
boys is 11 yrs and girls 12 What is the
average age of the whole class."

Answers

x = total age of boys

x / 30 = 11yrs

Multiply both sides by 30

x = 330

y = total age of girls

y / 20 = 12

Multiply both sides by 20

y = 240

(240 + 330) / 50 = 11.4 yrs

The average age of the whole class = 11.4 years.

Given:

A class has 30 boys and 20 girls.

The average age of boys and girls is 11 and 12 respectively.

To Find:

The average age of the whole class.

Solution:

Boys = No. of boys × Age

Boys = 30 × 11 = 330

Girls = No. of girls × Age

Girls = 20 × 12 = 240

Average Age = Boys + Girls / Total no. of boys and girls

Average Age = 330 + 240 / 50

Average Age = 570 / 50

Average Age = 11.4

Answer:

Average age of of the whole class is 11.4 .

Divide. 5892 ÷ 18 in fraction form.

Answers

Answer: mixed number 327 1/3

Step-by-step explanation:

5892/ 1÷18/ 1=327 1/3

put each number over one to turn it into a fraction.

The answer in fraction form is 982/3 or 327 (1 / 3).

Given,

5892 ÷ 18

We need to divide it in fraction form.

How do we divide a fraction?

Suppose we have two fractions:

a/b and c/d

Divide a/b by c/d

Now,

a/b ÷ c/d

a/b x d/c

Divide 5892 ÷ 18 in fraction form.

Write 5892 and 18  in fraction form:

- 5892/1

- 18/1

Now,

= 5892 / 1 ÷ 18/1

= (5892/1) / (18/1)

= (5892/1) x (1/18)

= (5892 x 1)  / (1 x 18)

= 5892 / 18

Write it in 6 multiples

= (6 x 982) / (6 x 3)

6 gets cancelled

= 982 / 3

We can write it in mix fraction.

= 327 (1 / 3)

Since,

3 x 327 = 981

981 + 1 = 982

Thus the answer in fraction form is 982/3 or 327 (1 / 3).

Learn more about dividing in dividing a fraction by a fraction here:

https://brainly.com/question/14582918

#SPJ2

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