Question

Simplify the radical expression by rationalizing the denominator.

8(radicand)48/(radicand) 112x

Please explain how to work this.

Answer 1

If you mean 8√48 / √112x

√48 = √(16*3) = √16 √3 = 4√3
√112 = √(16*7) = √16 √7 = 4√7

8√48/√112x = 8*4√3/4√7x = 8√3/√7x

To rationalize the denominator, multiply by √7/√7 to get

8√21 / 7x

Answer 2

Steve, thank you so much. You are always so helpful.