Divide..Assume that all radicands are non-negitve.√75x^4/√3?

Question

All one problem..please help

Answer 1

Assume question is (as you present it):-
(√75) x^4 / √3
= 5 √3 x^4 / √3
= 5 x^4

Answer would be 5x² if question is √(75x^4) / √3

Answer 2

√75x^4/√3 <--is x^4 also under the radical? if so:
(otherwise see answer above.)

= √75x^4 / √3 *(√3/√3) <--This will get rid of the bottom radical
= √225x^4 / (√3)²
= 15x² / 3
= 5x²

Answer 3

sq rt (75/3) * x^4 = sq rt (25) * x^4 = 5x^4