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Simplify.

427−−√+675−−√

 Dec 26, 2017
 #1
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Simplify the following:
4 sqrt(27) + 6 sqrt(75)

Simplify radicals.
sqrt(27) = sqrt(3^3) = 3 sqrt(3):
4×3 sqrt(3) + 6 sqrt(75)

Simplify radicals.
sqrt(75) = sqrt(3×5^2) = 5 sqrt(3):
4×3 sqrt(3) + 6×5 sqrt(3)

Multiply 4 and 3 together.
4×3 = 12:
12 sqrt(3) + 6×5 sqrt(3)

Multiply 6 and 5 together.
6×5 = 30:
12 sqrt(3) + 30 sqrt(3)

Add like terms in 12 sqrt(3) + 30 sqrt(3).
12 sqrt(3) + 30 sqrt(3) = 42 sqrt(3):
42 sqrt(3)

 

 Dec 26, 2017

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