For instance, in the first question, the square root of 225, I knew that 10 was too small, because 10×10=100, and 20 was too big, because 20×20=400. So I went halfway between those two numbers, 15, and found that 15×15 does equal 225. So that was my answer.

If 15×15 had been too big, however, I would have gone down to 14 and tried again; and if 15 had been too small, I would have gone up one and tried 16, and kept going that way till I found the right number.

For your bonus question, 576 and 6400 are the square numbers.

you can use a calculator for these.

a. 15

b. 27

c. 40

d. 19

e. 7

f. 8

g. 9

h. 10

factors of 64:

make a factor tree

64

/ \

8 8

/ \ /\

2 4 4 2

/ / \ / \ \

2 2 2 2 2 2

so the factors would be:

1, 2, 4, 8, 16, 32, 64

the square numbers are: 576 = 24^2 and 6400 = 80^2

5 to the third power means 5*5*5

second power and square are one and the same

5 power 2 is 25

so square root of 25 is 5

now coming to your answers

a..15

b..27

c..40

d..19

e..7

f..8

g..9

h..10

factors of 64 means the numbers which devide given number (here 64) giving reminder 0

factors of 64 are 1,2,4,8,16,32,64

576 794 1,044 4.356 6,400 5,770

the square numbers means the numbers which can be written as a square of any other number

the square numbers in the list are

576

6400

4,356

or if it is 4.356 it is not

2 to the 2nd power (2^2) = 2*2 = 4

3 to the 2nd power (3^2) = 3*3 = 9

Use a calculator and your best guess to answer the problems above.

11×11=121

12×12=144

13×13=169

14×14=196

15×15=225

Keep going.

a)15 squared is 225 and square root of 225 is 15

Which are square numbers. Put the number in a calculator and hit the square root keep. OR keep squaring numbers until you find it. 70×70=4900, 80×80=6400.

Good luck!

B.) 27

C.) 40

D.) 19

E.) 7

F.) 8

G.) 9

H.) 10, 7.0710678118654752440084436210485

The square root of 100 is _10_

The factors of 64 are _ 1,2,4,8,16,32, and 64 _

576 is 24 squared

794 is not a square number.

1044 is not a square number.

4356 is 66 squared.

6400 is 80 squared

5770 is not a square number.