How do you simplify 12/sqrt2?

Apr 6, 2015
• To simply an expression, we need to Rationalize its Denominator . Here, the denominator $\sqrt{2}$ is irrational, and we need to make it Rational.

• To make the Denominator Rational, we can Multiply the numerator as well the Denominator by $\sqrt{2}$

$\frac{12}{\sqrt{2}}$$\cdot$$\frac{\sqrt{2}}{\sqrt{2}}$

= $\frac{12 \cdot \sqrt{2}}{\sqrt{2} \cdot \sqrt{2}}$

=$\frac{12 \sqrt{2}}{2}$

= $6 \sqrt{2}$

The Denominator of $6 \sqrt{2}$ is 1, which is a Rational Number. It means that we have successfully simplified the fraction.