Question

section 5.1: exponent properties & section 5.2: radical
score: 28/28 answered: 15/17
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question 16 extra credit
problems 16 & 17 are extra credit. if you plan to take m151q: precalculus, we recommen
these problems. each one has a video attached to it (see question help) that will demon
the technique that is needed for the problem.
simplify, if possible, and then rationalize the denominator. enter an exact answer, not a r
number.
\\( \sqrt { \frac { 13 } { 11 } } = \\)
question help: video message instructor

Explanation:

Step1: Apply the property of square roots

The property \(\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}\) for \(a = 13\) and \(b=11\). So, \(\sqrt{\frac{13}{11}}=\frac{\sqrt{13}}{\sqrt{11}}\).

Step2: Rationalize the denominator

Multiply the numerator and denominator by \(\sqrt{11}\).

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Answer:

\(\frac{\sqrt{143}}{11}\)