Question 252926
divide and simplify ao that there are no radicals in the denominator. show your steps. 
1. square root 7 over 100 
2. square root of 18 + square root 24 over square root of 6 
3. 8 over square root of 6 


(1.) sqrt(7/100) = sqrt(7)/sqrt(100) = sqrt(7)/10

(2.) (sqrt(18) + sqrt(24)) / sqrt(6)

Multiply numerator and denominator by sqrt(6):
sqrt(6)*((sqrt(18)+sqrt(24)) / [sqrt(6)*sqrt(6)] =
[sqrt(6*18) + sqrt(6*24)] / 6 =

[sqrt(108) + sqrt(144)] / 6 =

[sqrt(36*3) + 12] / 6 =
[6*sqrt(3) + 12] / 6 =

sqrt(3) + 2

(3.) 8/sqrt(6)

Again multiply numerator and denominator by sqrt(6):

8*sqrt(6) / [sqrt(6)*sqrt(6)] =
8*sqrt(6) / 6 =
(4/3)*sqrt(6)