Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 1.9 Junior Find the answer

$\sqrt{\frac{1}{9}+\frac{1}{16}}=$
$\textrm{(A)}\ \frac{1}5$ $\textrm{(B)}\ \frac{1}4$ $\textrm{(C)}\ \frac{2}7$ $\textrm{(D)}\ \frac{5}{12}$ $\textrm{(E)}\ \frac{7}{12}$

Your answer

Multiple choice: answer with the letter of the option you want.

Solution

$\sqrt{\frac{1}{9}+\frac{1}{16}}=\sqrt{\frac{25}{9\cdot 16}}=\frac{5}{12}$ and hence the answer is $\fbox{D}$ .

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.