Question

What is the value $\sqrt{8}8\times \sqrt{3}52$ ?

• A. 166
• B. 276
• C. 176
• D. 256

Answer 1

The correct option is C 176

$\sqrt{8}8\times \sqrt{3}52$ = $\sqrt{11\times 8}\times \sqrt{11\times 32}$
= $\sqrt{11\times 2\times 2\times 2}\times \sqrt{11\times 8\times 4}$
= $\sqrt{11\times 2\times 2\times 2}$ x $\sqrt{11\times 2\times 2\times 2\times 2\times 2}$
= $\sqrt{(11\times 11)\times (2\times 2\times 2\times 2\times 2\times 2\times 2\times 2)}$= $\sqrt{121\times 256}$
( since 121 and 256 are perfect squares of 11 and 16 respectively,
= $11\times 16$ = 176