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Algebra/adding square roots
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Question
I am supposed to add and simplify by collecting like radical terms if possible:
6 sqrt 45 + 9sqrt 80
please help
It is known that 45 = 3*3*5. That looks like there are 2 3's there, so √45 = √(3*3)√5 = 3√5.
80 = 2*2*2*2*5, so √80 = √(2*2*2*2*5) = √(2*2*2*2)√5 = 2*2√5 = 4√5.
The problem is then 6(3√5) + 9(4√5) = 18√5 + 36√5 = 54√5.
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Algebra
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Scott A Wilson
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