Question

Simplify root(75x^2y^-4)

a. (5root3)x/y^2 or b. (5root3)|x|/y^2

Answer 1

so first ,,root" there mean squarroot ?

Answer 2

hope that yes

so than will try it step by step

how you can rewriting 75 using square of a number ?

Answer 3

you dont like cooperate anything ?

Answer 4

75 = 3*5^2

ok ?

Answer 5

75x^2y^-4

do you can rewrite it using just positive exponent ?

Answer 6

so y^(-4) = 1/(y^4)

yes ?

Answer 7

Oh my, so sorry, I went out! I'm back now though.

I solved it out:

\[\sqrt{75x^{2}y^{-4}}\]

\[\sqrt{75} = 5\sqrt{3} \]

\[\sqrt{x^2} = x\]

\[\sqrt{y^-4} = \frac{ 1 }{ y^2 }\]

Answer 8

ok

yw

Answer 9

But this would be: \[\frac{ 5 \sqrt{3}x }{ y^2 }\]

Is it possible for it to be: \[\frac{ 5 \sqrt{3}|x| }{ y^2 }\]

Answer 10

a. is right because

root(75x^2y^-4) = sqrt((3*5^2 *x^2)/y^4) = (5xsqrt3)/y^2

Answer 11

Thank you (:

Answer 12

yw

hope you understand it now sure right

Answer 13

Yep!

Answer 14

good luck

bye