Question

Rationalise the denominator and simplify $\frac{3}{2\sqrt{x}}$

Answer 1

We rationalise the denominator of $\frac{3}{2\sqrt{x}}$ by multiplying $\sqrt{x}$ in the numerator and denominator as follows:

$\frac{3}{2\sqrt{x}}\times \frac{\sqrt{x}}{\sqrt{x}}=\frac{3\sqrt{x}}{2\sqrt{x^2}}=\frac{3\sqrt{x}}{2x}$

Hence, $\frac{3}{2\sqrt{x}}=\frac{3\sqrt{x}}{2x}$