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How do you rationalize the denominator and simplify #sqrt22/sqrt55#?

Answer 1

#sqrt10/5#

To begin with cancel out the numerator and denominator by #sqrt11#. We are left with #sqrt2/sqrt5#. To rationalize the denominator, multiply the numerator and the denominator by #sqrt5#. This would lead to #sqrt10 /5#

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Answer 2

Eli Assouline

To rationalize the denominator and simplify sqrt22/sqrt55, we can multiply both the numerator and denominator by sqrt55. This results in (sqrt22 * sqrt55) / (sqrt55 * sqrt55), which simplifies to sqrt(22 * 55) / 55. Further simplifying, we have sqrt(1210) / 55. Therefore, sqrt22/sqrt55 can be rationalized and simplified to sqrt(1210) / 55.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.