1988 AHSME Problems/Problem 1

Revision as of 03:27, 16 November 2013 by IsabeltheCat (talk | contribs) (Created page with "<math> \sqrt{8}+\sqrt{18}= </math> <cmath> \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} ...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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

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

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 \text{(D)} .