Question

Rational the denominator & simplify:-
$\frac{b^2}{\sqrt{a^2+b^2+a}}$

Answer 1

Rationalizing the denominator of $\frac{b^2}{\sqrt{a^2+b^2+a}}$.

$\frac{b^2}{\sqrt{a^2+b^2+a}}\times \frac{\sqrt{a^2+b^2+a}}{\sqrt{a^2+b^2+a}}$

$=\frac{b^2\left(\sqrt{a^2+b^2+a}\right)}{{\left(\sqrt{a^2+b^2+a}\right)}^2}$

$=\frac{b^2\sqrt{a^2+b^2+a}}{a^2+b^2+a}$