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what is -sqrt 48 + sqrt 108

 Oct 6, 2017
 #1
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Simplify the following:
sqrt(108) - sqrt(48)

sqrt(48) = sqrt(2^4×3) = 2^2 sqrt(3):
sqrt(108) - 2^2 sqrt(3)

2^2 = 4:
sqrt(108) - 4 sqrt(3)

sqrt(108) = sqrt(2^2×3^3) = 2×3 sqrt(3):
2×3 sqrt(3) - 4 sqrt(3)

2×3 = 6:
6 sqrt(3) - 4 sqrt(3)

6 sqrt(3) - 4 sqrt(3) = 2 sqrt(3):
2 sqrt(3)

 Oct 6, 2017

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