Question

Help please!!!! Asap!! math whizzes!!!

What is the simplest form of the radical expression 75x3y6−−−−−−√ ?

Assume x and y are positive.



5xy33xy−−−√
5xy3xy−−√
5xy23x−−√
5xy33x−−√

Answer 1

a

Explanation:

Answer 2

`5xy^3 √(3x)`

Explanation:

The radical
`√(75x^3y^6)` can be simplified by breaking it down into factors and removing the perfect squares from inside the radical.

`√(75x^3y^6) =√(3*25*x^2*x*y^6) =5xy^3 √(3x)`

25 is a perfect square and is 5 outside the radical.

`x^2` is a perfect square and is x outside the radical.

`y^6` is a perfect square and is
`y^3` outside the radical.