Difference between revisions of "1988 AHSME Problems/Problem 1"
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} ...") |
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| + | ==Problem== | ||
| + | |||
<math> \sqrt{8}+\sqrt{18}= </math> | <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} </cmath> | <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} </cmath> | ||
| − | Solution | + | ==Solution== |
| − | + | ||
| + | <math> \sqrt{8} = 2 \sqrt{2} </math> | ||
| + | |||
| + | <math> \sqrt{18} = 3 \sqrt{2} </math> | ||
| − | So adding the two terms we get <math> 2 | + | So adding the two terms we get <math> 2 \sqrt{2} + 3 \sqrt{2} = 5 \sqrt{2} </math> , which corresponds to answer choice <math>\boxed{\textbf{(D)}}</math> . |
Revision as of 01:23, 13 January 2014
Problem
![\[\text{(A)}\ \sqrt{20}\qquad\text{(B)}\ 2(\sqrt{2}+\sqrt{3})\qquad\text{(C)}\ 7\qquad\text{(D)}\ 5\sqrt{2}\qquad\text{(E)}\ 2\sqrt{13}\]](http://latex.artofproblemsolving.com/a/e/f/aef5c444783d6bda9508ab5bc9016312e5a99fab.png)
Solution
So adding the two terms we get 
, which corresponds to answer choice 
.
