How do you simplify sqrtxsqrt(x+2)√x√x+2?

1 Answer
Aron S.
Sep 16, 2015

sqrt(x)sqrt(x+2) = sqrt(x(x+2))√x√x+2=√x(x+2)

Explanation:

sqrt(a)sqrt(b) = sqrt(ab)√a√b=√ab when aa and bb are non-negative, which means you can join them under the same square root to sqrt(x)sqrt(x+2) = sqrt(x(x+2))√x√x+2=√x(x+2), which is the simplest form.

Apart from expanding it to sqrt(x^2+2x)√x2+2x, there's not much more to do with this expression.

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