Question

$\sqrt{\frac{8^{10}+4^{10}}{{64}^2+4^9\times 16}}$ is equal to

• A. $8$
• B. $16$
• C. $36$
• D. $256$

Answer 1

Answer: (B)

$16$

$\sqrt{\frac{8^{10}+4^{10}}{{64}^2+4^9\times 16}}$
$=\sqrt{\frac{(4\times 2{)}^{10}+4^{10}}{4^6+4^{11}}}$
$=\sqrt{\frac{4^{10}(2^{10}+1)}{4^6(2^{10}+1)}}$
$=\sqrt{4^4}=16$
Hence, option 'B' is correct.