Question

3√ 1000

Answer 1

whats the question

Answer 2

simplify?

Answer 3

yes

Answer 4

what are some factors of 1000?

Answer 5

what is the largest factor?

Answer 6

besides 1000 itself

Answer 7

100

Answer 8

hint: 1000 = 100*10

Answer 9

well no thats not the largest below 1000, but thats perfect, thats the factor we are looking for

Answer 10

ok so rewrite as 3sqrt(100 * 10)

Answer 11

$$3\sqrt{100*10}$$

Answer 12

because we want a factor that we can take the square root of, so thats perfect

Answer 13

we can rewrite that as $$3\sqrt{100}*\sqrt{10}$$ are you ok with that rule?

Answer 14

yes so the answer would be 10

Answer 15

the answer to what?

Answer 16

@sugarapples what is the square root of 100?

Answer 17

10

Answer 18

pefect, so now we can rewrite that as $$3*10*\sqrt{10}$$

are you ok with that?

Answer 19

yes

Answer 20

ok so thats $$30\sqrt{10}$$

Answer 21

now is there a factor of 10 that we can take the square root of and get an integer (whole number)?

Answer 22

@sugarapples

Answer 23

??

Answer 24

30

Answer 25

no

Answer 26

there is not a factor of 10, other than 1, that we can take the square root of and get a whole or rational number, so we are done, final answer is $$30\sqrt{10}$$

Answer 27

thank you

Answer 28

yw

Answer 29

i hope you understand that $$30\sqrt{10}$$ is the same as $$30*\sqrt{10}$$

Answer 30

@sugarapples