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Simplify : $\sqrt{\left(12.1^{2}-8.1^{2}\right)\div \left(0.25^{2}+\left(0.25\right) \left(19.95\right)\right)}$

Answer:

Explanation:

Given exp = $\sqrt{\frac{(12.1+8.1)(12.1-8.1)}{(0.25)(0.25+19.95)}}$
$=  \sqrt{\frac{ 20.2\times 4}{ 0.25\times 20.2}}$
$=  \sqrt{\frac{  4}{ 0.25 }}$
$= \sqrt{\frac{ 400}{ 25}}$
$= \sqrt{16}$
= 4