| Find the simplest value of \[2\sqrt{50}+\sqrt{18}-\sqrt{72}\] (given,\[=\sqrt{2}=1.414\]) [SSC (CGL) 2013] |
A) 9.898
B) 10.312
C) 8.484
D) 4.242
Correct Answer: A
Solution :
| \[2\sqrt{50}+\sqrt{18}-\sqrt{72}\] |
| \[=2\sqrt{5\times 5\times 2}+\sqrt{3\times 3\times 2}-\sqrt{6\times 6\times 2}\] |
| \[=2\times 5\sqrt{2}+3\sqrt{2}-6\sqrt{2}\] |
| \[=10\sqrt{2}+3\sqrt{2}-6\sqrt{2}\] |
| \[=13\sqrt{2}-6\sqrt{2}=7\sqrt{2}\] [given, \[\sqrt{2}=1.414\]] |
| \[=7\times 1.414=9.898\] |
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