Anurag@Gurome wrote:jayanti wrote:√[2√63 + 2/(8+3√7)]
A. 8 + 3√7
B. 4 + 3√7
C. 8
D. 4
E. √7
2/(8 + 3√7) = 2*(8 - 3√7)/[(8 + 3√7)*(8 - 3√7)] = 2*(8 - 3√7)/[8² - (3√7)²] = 2*(8 - 3√7)/[64 - 63] = 2*(8 - 3√7) = 2*(8 - √63)
Hence, √[2√63 + 2/(8+3√7)] = √[2√63 + 2*(8 - √63)] = √[2√63 + 16 - 2√63)] = √16 = 4
The correct answer is D.
Would just like an explanation for this part: 2*(8 - 3√7) = 2*(8 - √63)
How does 3√7 become √63? Clearly I need to hone my radical expression skills, but if you don't mind...
Also, what are the pros and cons for breaking down 2√63 into 2√7x3x3=5√7 ? Is it just by choice or is there some magical way to know...?
Thx.