Question

Simplify:
$\sqrt{5^2+3^2+4\times 5\times 3\times \sin {30}^o}$

Answer 1

Now,

Let $a=\sqrt{5^2+3^2+4\times 5\times 3\times \sin {30}^o}$

$=\sqrt{5^2+3^2+4\times 5\times 3\times \frac{1}{2}}$

$=\sqrt{5^2+3^2+2\times 5\times 3}$

$=\sqrt{(5+3{)}^2}$

$a=8$.