How do you rationalize the denominator 8√2√20−√18?

1 Answer
Alan P.
May 27, 2015

To rationalize the denominator, multiply both the numerator and the denominator by the conjugate of the denominator.

8√2√20−√18

=8√2√20−√18⋅√20+√18√20+√18

=8√40+8√3620−18

=8(2√10+6)2

=24+8√10

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