Question

Solve the following equations.
$\sqrt{3x^5}=3\sqrt{x^2}$

Answer 1

Given equation is $\sqrt{3\times x\times 5}=3\sqrt{x\times 2}$

Now squaring both side in the above equation

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

$3x^5=9x^2$

divide both side by $3x^2$

$x^3=3$

$x=(3{)}^{\frac{1}{3}}$ hence this the solution