How do you simplify −20√6−√2?

1 Answer
sente
Feb 24, 2016

Rationalize the denominator to find that

−20√6−√2=−5(√6+√2)

Explanation:

We will use the fact that (a−b)(a+b)=a2−b2 to rationalize the denominator.

−20√6−√2=−20(√6+√2)(√6−√2)(√6+√2)

=−20(√6+√2)(√6)2−(√2)2

=−20(√6+√2)6−2

=−20(√6+√2)4

=−5(√6+√2)

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