Question

sqrt(200x^3y)

Answer 1

@jim_thompson5910

Answer 2

@triciaal

Answer 3

what factors of 200 are perfect squares?

Answer 4

100

Answer 5

so 200 = 100*2

Answer 6

yes

Answer 7

which means

\[\Large \sqrt{200} = \sqrt{100*2}\]

\[\Large \sqrt{200} = \sqrt{100}*\sqrt{2}\]

\[\Large \sqrt{200} = 10*\sqrt{2}\]

Answer 8

That takes care of the first part, how would you simplify the square root of x^3?

Answer 9

10 times 3?

Answer 10

divided

Answer 11

wait

Answer 12

how can you factor x^3 so that one factor is a perfect square?

Answer 13

i cant think of it

Answer 14

we can write x^3 as x^2*x

Answer 15

so what does sqrt(x^3) simplify to?

Answer 16

im not sure

Answer 17

use the idea that

sqrt(x*y) = sqrt(x) * sqrt(y)

Answer 18

still not sure

Answer 19

sorry im not good at this stuff, its confusing to me