Question

Simplify:
$\frac{2\times {10}^{-3}}{\sqrt{0.144\times {10}^{-5}}}\times \sqrt{\frac{1.21\times 0.9}{1.1\times 0.11}}$

• A. $2$
• B. $3$
• C. $4$
• D. $5$

Answer 1

Answer: (D)

$5$

Given expression
$=\frac{2\times {10}^{-3}}{\sqrt{0.144\times {10}^{-5}}}\times \sqrt{\frac{1.21\times 0.9}{1.1\times 0.11}}$
$=\frac{2\times {10}^{-3}}{12\times {10}^{-4}}\times 3$
$=\frac{1}{2}\times 10=5$