Hussain15 wrote:
√[2√63 + 2/(8+3√7)] =
A. 8 + 3√7
B. 4 + 3√7
C. 8
D. 4
E. √7
All such question can be easily solved by approximation so in case readers haven't tried it before, I would urge them to think the approximate values and answer such questions. Here is the explanation that you will probably fall in love withWe have to calculate the value of √[2√63 + 2/(8+3√7)]
√63 is very close to √64 = 8
therefore,
√63 = 8 (approx.)
√7 is very close to √9 = 3
therefore,
√7 = 3 (approx.)
Now, √[2√63 + 2/(8+3√7)] = √[2*8 + 2/(8+3*3)] = √[16 + 2/(17)] = √[16] = 4 (approx)
A. 8 + 3√7 is Much Greater than 4 so INCORRECT
B. 4 + 3√7 is Much Greater than 4 so INCORRECT
C. 8 is Much Greater than 4 so INCORRECT
D. 4 CORRECTE. √7 = 2.8 approx so INCORRECT
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