SOLUTION: Can you help me figure out this problem showing all steps. Thank you :) 3 square root 20 + 5 square root 45 + square root 75 answer choices: a. 21 square root 5 + 5 square r

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Question 91330: Can you help me figure out this problem showing all steps. Thank you :)
3 square root 20 + 5 square root 45 + square root 75
answer choices:
a. 21 square root 5 + 5 square root 3
b. 26 square root 3
c. 21 square root 2 + 5 square root 3

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
3 square root 20 + 5 square root 45 + square root 75
---------
Rule: To simplify radical break the radicand into two factors, one of which
is the highest perfect square dividing the radicand.
----------------
Your Problem:
3sqrt(4*5) + 5sqrt(9*5)+sqrt(25*3)
=3*2sqrt5 + 5*3sqrt5 + 5 sqrt3
=6sqrt5 + 15 sqrt5 + 5sqrt3
=21sqrt5 + 5sqrt3
================
Cheers,
Stan H.

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