SOLUTION: Please help solve this problem: I need to find the answer of the radical by first rationalizing the denominator, I got an answer but just wanted to make sure I have it correct: {{{

Algebra ->  Radicals -> SOLUTION: Please help solve this problem: I need to find the answer of the radical by first rationalizing the denominator, I got an answer but just wanted to make sure I have it correct: {{{      Log On


   

Question 144147: Please help solve this problem: I need to find the answer of the radical by first rationalizing the denominator, I got an answer but just wanted to make sure I have it correct: 7%2Asqrt100+over+sqrt500
7%2Asqrt100+%2A+sqrt5+over+sqrt500%2Asqrt5+%0D%0A%7B%7B%7B7%2Asqrt500+over+sqrt2500
7%2Asqrt100%2A5+over+50
70%2Asqrt5+over+50
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
7*sqrt(100)/sqrt500
=70/10sqrt(5)
=7/sqrt(5)
=7/sqrt(5) * sqrt(5)/sqrt(5)
=7sqrt(5)/5
.
Ed