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How do you rationalize the denominator and simplify #1/sqrt11#?

Answer 1

Roman Alvarez

#1/sqrt11=sqrt11/11=0.3015#

To rationalize #1/sqrt11#, one should multiply numerator and denominator by #sqrt11#.

Hence, #1/sqrt11=(1xxsqrt11)/(sqrt11xxsqrt11)#

= #sqrt11/sqrt(11xx11)#

= #sqrt11/11#

= #3.3166248/11=0.3015#

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Answer 2

Skylar Adams

To rationalize the denominator and simplify (\frac{1}{\sqrt{11}}), multiply both the numerator and the denominator by (\sqrt{11}). This results in:

[\frac{1}{\sqrt{11}} \times \frac{\sqrt{11}}{\sqrt{11}} = \frac{\sqrt{11}}{11}]

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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.