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can someone explain how to solve this math problem?
square root(128y^3) - y square root(98y) + square root(50y^3)
1 Answer
- friendlyhelp04Lv 61 decade agoFavorite Answer
factor each term inside the square roots until you get pairs of equal factors:
sqrt(128y^3)-y*sqrt(98y)+sqrt(50y^3)
=sqrt(8*8*2*y*y*y)-y*sqrt(7*7*2*y)+sqrt(5*5*2*y*y*y)
for each pair, move one outside the root and place it in front and this just remove the other of the pair
=8*y*sqrt(2*y)-7*y*sqrt(2*y)+5*y*sqrt(2*y)
=8y*sqrt(2y)-7y*sqrt(2y)+5y*sqrt(2y)
now collect like terms:
=20y*sqrt(2y)
