# 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 3Answer by stanbon(60771)   (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.