Question

Explain why each radical expression is or is not in simplified form.

1. 3/√3
It's not in simp form: √3

2. 5√30
It is in simp form

Okay, I know the answers... but what do they mean about "explain"? What do they want? Just the answer and how I got it or... ? If so, can someone help? Thanks

Answer 1

#1.
It's not in simplified form because there's a radical sign in the denominator.
to remove the radical sign, we multiply both numerator and denominator by √3:
(3 / √3) * (√3 / √3)
= 3√3 / 3
= √3

#2.
Yeah, it's already in simplified form.

Answer 2

Thank you!:)