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1988 AHSME Problems/Problem 1

Revision as of 01:23, 13 January 2014 by Dasobson (talk | contribs) (fixed the typesetting a little)

Problem

$\sqrt{8}+\sqrt{18}=$

\[\text{(A)}\ \sqrt{20}\qquad\text{(B)}\ 2(\sqrt{2}+\sqrt{3})\qquad\text{(C)}\ 7\qquad\text{(D)}\ 5\sqrt{2}\qquad\text{(E)}\ 2\sqrt{13}\]

Solution

$\sqrt{8} = 2 \sqrt{2}$

$\sqrt{18} = 3 \sqrt{2}$

So adding the two terms we get $2 \sqrt{2} + 3 \sqrt{2} = 5 \sqrt{2}$ , which corresponds to answer choice $\boxed{\textbf{(D)}}$ .

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