Simplify the following square roots:
[tex]\sqrt{32}[/tex]
[tex]\sqrt{28}[/tex]
[tex]\sqrt{12}[/tex]

Answers

Answer 1

Answer:

Sqrt32 = 4[tex]\sqrt{2}[/tex], Sqrt28 = 2[tex]\sqrt{7}[/tex], Sqrt12 = 2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Square root of 32:

First we find the prime factors of the number by making a factor tree.

32 splits into 8 and 4.

8 splits into 4 and 2

4 splits into 2 and 2

4 splits into 2 and 2

This becomes the square root of [tex]2^{2}[/tex] x [tex]2^{2}[/tex] x 2. It will simplify to:

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

Square root of 28:

The prime factors of this number are:

2, and 2

This simplifies to 2[tex]\sqrt{7}[/tex]

Square root of 12:

The prime factors of this are:

3, 2, 2

This simplifies to:

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

Answer 2

Answer:

They can not be simplified because they are not perfect squares.


Related Questions

A tailor has a glass jars on a shelf.
Each jar holds 242 buttons. How many
buttons does the tailor have in all?
A 1,868
B) 1,800
C) 2,360
D) 2,178

Answers

Answer: D.

Step-by-step explanation: You can only have a whole number of jars. If you divide options A, B, and C, you will get a number with a wild decimal. Option D is correct because 2,178 divided by 242 is 9, which does not have a wild decimal.

Simplify -2 1/9 - (-4 1/9)
1)
2 2/9


2)
-6 4/9


3)
-2 2/9


4)
6 4/9

Answers

Answer:

2

Step-by-step explanation:

The easiest thing is to convert it to an improper fraction.

-2 1/9 turns into -19/9. -4 1/9 turns into -37/9.

-19/9 - (-37/9) here you would add because you are subtracting a negative number.

-19/9 + 37/9 change it to positive and then add.

-19+37=18

it was 18/9. that simplified is 2.

Samuel's heart rate is 66 beats per minute. If this is his average heart rate, how
many times will it beat in 27 years? *

12

Answers

Answer:

28098576000

Step-by-step explanation:

HURRY PLEASE IM TIMED. Which list of numbers is shown on the number line below? A number line going from negative 3 to positive 2. There are 4 equal spaces between each number. A point is halfway between negative 3 and negative 2. A point is between the second and third mark between negative 2 and negative 1. A point is on the mark 1 space to the right of 0. A point is halfway between 1 and 2. Negative 2.5, 1 and three-fourths, 50 percent, 1.5 Negative 2.5, negative 1 and one-third, 50 percent, 1.5 Negative 2.5, negative 1 and three-fourths, 25 percent, 1.5 Negative 2.5, negative 1 and one-third, 25 percent, 1.5

Answers

Answer:

It is A The first one

Step-by-step explanation:

Negative 2.5, 1 and three-fourths, 50 percent, 1.5

Pls Mark Brainliest

Answer:

d

Step-by-step explanation:

Some one please help

I have attached the question

Answers

Answer:

a number question's answer is a power 2. and is c power 1

Answer

A) a2
B) c

Explaining

what variable is used to represent SLOPE?​

Answers

Answer:

M is used to represent the slope.

Step-by-step explanation:

Y = MX + C

Answer:

m is used to represent the slope

Step-by-step explanation:

y=mx+b

y is directly proportional to the square of x.
When y= 24, x= 2.
Find the value of y when x=4.​

Answers

Answer:

y= 48

Step-by-step explanation:

X was doubled so i believe this is correct

Have a great day!!!

The triangles are similar.


What is the value of x?


Enter your answer in the box.

x =

Answers

x=12 because say if we choose the base line as our example then the baseline for the small triangle is 7 and the baseline for the bigger triangle is 28. To get from 7 to 28 you have to times by 4 , so the triangle has been enlarged by 4. If we get the side where it says 25 (for the smaller triangle) we can times it by 4 to get 100. Our equation is now 100=6x+28. To work this equation out you do -28 for both sides which equals to 72=6x.
Then we divide by 6 on both sides to get our answer as 12=x
Hope this helped, ask me if you are confused by anything that I just said.

Does anybody know what the answer to this question is?
If you know, please tell me. I'm really in a hurry.

Answers

Answer:

28x−6

Step-by-step explanation:

Okay 2 sides of equal lenght so

2(6x-4)+2(8x+1)=

12x-8+16x+2

28x-6

Triangle ABC is shown the measure of the interior angle at point A is 40 and the exterior angle point C is 102

Answers

Answer:

∠C (Interior) =78°

∠B (Interior) = 62°

Step-by-step explanation:

Given:

∠A (Interior) = 40°

∠C (exterior) = 102°

Computation:

∠C (Interior) = 180° - 102°

∠C (Interior) =78°

∠B (Interior) = 180° - ∠A (Interior) - ∠C (Interior)

∠B (Interior) = 180° - 78° - 40°

∠B (Interior) = 180° - 118°

∠B (Interior) = 62°

At a local high school, 30% of the students have a part-time job, 45% of the students are on the principal's honor roll, and 20% of the students have a part-time
job and are on the principal's honor roll. If a student was randomly selected from this school, what is the probability that the student has a part-time job or is on
the principal's honor roll?
0 95%
O 759
O 55%
O 3596

Answers

Answer:

b

Step-by-step explanation:

Answer:

b he is your answer dear friend

what is the awnser to y=3/2x-1

Answers

Answer:

On a coordinate graph, make a point at (0, -1)

Move the point up 3 units and right 2 units, and make another point. Continue across the plane and draw the line connecting the dots.

Answer:

Step-by-step explanation:

Kameron who is 4.5 feet tall , is outside during recess

Answers

Answer: I'm not sure i understand. Are you asking a question or is this just a statement

Step-by-step explanation:

Write an equation of the line with the given slope and y-intercept.

Answers

Answer:

A. [tex] y = \frac{1}{4}x + 2 [/tex].

Step-by-step explanation:

Equation of a line in slope-intercept form, is given as [tex] y = mx + b [/tex].

Given a slope (m) of ¼, and y-intercept (b) of 2, we can get the equation if the line by substituting m = ¼, and b = 2 into [tex] y = mx + b [/tex].

Thus, the equation of the line would be:

[tex] y = \frac{1}{4}x + 2 [/tex].

Examine the graph.


Select each interval where the graph is decreasing.

a.−4b. 3c.2d.−1

Answers

C:2 because that is the point where it decreases

Edwin has 50$ in his bank.He starts spending $3 each week on snacks at lunch. how many weeks will edwin run out of money?

Answers

He will run out of money in 16 weeks

What is the area of this rectangle?
2.5 m
2 m

Answers

Answer:

5

Step-by-step explanation:

The expression on the left side of an equation is shown below.

Negative 4 (x minus 2) + 5 x = box

If the equation has no solution, which expression can be written in the box on the other side of the equation?

Answers

Answer:

9x-9

Step-by-step explanation:

the expression on the left simplifes to be 9x-8 so anything other than that will not produce a solution

examples:  9x+1, -9x-8, 10x+3, 12x . . .

Answer:d

Step-by-step explanation:

Find the midpoint of points A(-3,7) and B(-6,0) graphically. ​

Answers

Answer:

satingin ko po at B I not sure

Step-by-step explanation:

i hope it help

since it says graphically, plot the point (-3/2, 7/2)

Help me with this bs

Answers

Answer: It’s A bc it’s a

Two spoiled dogs eat a total of 18 treats in a certain amount of time. How many spoiled dogs will eat 72 treats in the same amount of time, assuming each dog eats treats at the same time

Answers

Answer:

8 spoiled dogs can eat 72 treats

Step-by-step explanation:

Answer:

8 spoiled dogs

Step-by-step explanation:

2 spoiled dogs = 18 eaten treats

18 eaten treats x 4 =72 eaten treats

2 spoiled dogs x 4 = 8 spoiled dogs

what is (7/4x)+(-3/2y) simplified

Answers

Answer:

0.25(7x-6y)

Step-by-step explanation:

help please! nobody has been answering my questions :( !!!!!!

Answers

I actually don’t know either

I NEED HELP ASAP PLZZZ
Above, a right triangle is removed from a rectangle. What is the area of the remaining figure?
o 18 in?
31 in
87 in?
96 in

Answers

Answer:

87

Step-by-step

length x width=area

12*8=96-9=87

Scientists often write very large or very small numbers using exponents. How might a scientist write the number shown using exponents?

Answers

Answer:

It makes comparing magnitudes easier. It is much easier to estimating numbers easier. you can easily say that 0.0000000009 is smaller than 0.0000001 and even say but how much, and it reduces the amount of time you have to read the number, since instead of having 0s, you have the amount of 0s.

help now i will mark brainly

Answers

Answer:

6. 928 R 3

7. 4/6

8. 2/8

Step-by-step explanation:

Jacob has a coin and a spinner with 3 equal sections, one colored red, one colored blue, and one colored green. Which tree diagram best represents all possible outcomes of Jacob spins the spinner once and flips the coin once?

Answers

Answer:5y

Step-by-step explanation:

67

Hey how you have a good day !! XD

How do you write the difference of a number 11 and d

Answers

To find the difference between 2 values you would subtract.

You would write this as 11-d

Answer: 11-d


Explanation: We know to set up a subtraction equation because the key word difference which means we subtract have a nice day (:

2x {3x [40 - (I0 x 2)]} = ?

Answers

the answer its 120 hope helps you

please help if u can!!

The entry fee to a fun park is $20. Jackson spent a total of 35 at the park. If z represents the number of rides jackson went on, which equation represents the situation and what is the value of z that makes the equation true?

A= 2.50=35
x=14

B= 2.50z=20
x=8

C= 20z+2.50=35
c=2

D= 20+2.50z=35
x=6

Answers

Answer: The answer is d.

Step-by-step explanation:

If the entry amount is $20 then you want to subtract $20 from $35 and that leaves you with $15 now if you divide $15 in $2.50's you get 6

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