How do you rationalize the denominator and simplify 5/sqrt55√5?

1 Answer
Barbara
Mar 18, 2016

The answer is sqrt5√5

Explanation:

To rationalize a fraction where the denominator is a surd, you must multiply both the numerator and the denominator by the surd denominator of the original fraction.
So 5/sqrt55√5 is multiplied by sqrt5/sqrt5√5√5 which keeps
its value the same as sqrt5/sqrt5√5√5=1
This gives you (5sqrt5)/(sqrt5sqrt5)5√5√5√5
which is (5sqrt5)/55√55
and this simplifies to sqrt5√5

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