SOLUTION: I am stuck on these two problems and need some help Simplify: square root of 7(5 square root5-3 square root 7) and also simplify: Square root 75a^2 over square root5 T

Algebra ->  Radicals -> SOLUTION: I am stuck on these two problems and need some help Simplify: square root of 7(5 square root5-3 square root 7) and also simplify: Square root 75a^2 over square root5 T      Log On


   

Question 91381: I am stuck on these two problems and need some help
Simplify: square root of 7(5 square root5-3 square root 7)
and also
simplify: Square root 75a^2 over square root5

Thanks a million
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify: square root of 7(5 square root5-3 square root 7)
= [sqrt(7)][5sqrt(5) - 3sqrt(7)]
= 5sqrt(35) -3*7
= 5sqrt(35) - 21
--------------------------
and also
simplify: Square root 75a^2 over square root5
[sqrt(75a^2]/[sqrt(5)]
=sqrt[75a^2/5]
= sqrt[15a^2]
= a*sqrt(15)
==============
Cheers,
Stan H.