1988 AHSME Problems/Problem 1

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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 $\boxed{\textbf{(D)}}$ .


See also

1988 AHSME (ProblemsAnswer KeyResources)
Preceded by
First Question
Followed by
Problem 2
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