Question

Using complete sentences, explain the two ways to simplify the square root of 320 and provide the simplified form.

Need someone to check my answer, I will post it below...

Answer 1

Find the largest square number that goes in to 320, i.e. 64 and rewrite 320 as a multiplication 64 and another number. The square root of 320 is the same as the multiplication of the square roots of both numbers individually. Since the square root of a square number will always be a whole number, it can be simplified and multiplied by the square root of the other number. √(320) = √64*√5 = 8√5

You could also take the longer route (take any square you can find):
√(320) = √4*√16*√) = 2*4√5 = 8√5

is this right and does it make sense?

Answer 2

looks good.

Answer 3

yay! thanks :)

Answer 4

and to you, thanks, because you're the one that gave me my new smartscore!

Answer 5

:)

Answer 6

your welcome

Answer 7

yw too...