| If \[\sqrt{3}=1.7321,\] then the value of \[\sqrt{192}-\frac{1}{2}\sqrt{48}-\sqrt{75},\] (correct to 3 places of decimal) is |
A) 8.661
B) 4.331
C) 1.7321
D) \[-1.746\]
Correct Answer: C
Solution :
| Expression \[=\,\,\sqrt{192}-\frac{1}{2}\sqrt{48}-\sqrt{75}\] |
| \[=\,\,\sqrt{64\times 3}-\frac{1}{2}\,\,\sqrt{16\times 3}-\sqrt{25\times 3}\] |
| \[=\,\,8\sqrt{3}-\frac{1}{2}\times 4\sqrt{3}-5\sqrt{3}\] |
| \[=\,\,8\sqrt{3}-2\sqrt{3}-5\sqrt{3}=\sqrt{3}=1.7321\] |
You need to login to perform this action.
You will be redirected in
3 sec
