How do you simplify $\frac{12}{\sqrt{2}}$ $12/sqrt2$ ?

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Answer 1 · 2015-04-06T04:10:49

To simply an expression, we need to Rationalize its Denominator . Here, the denominator $\sqrt{2}$ $sqrt2$ is irrational, and we need to make it Rational.
To make the Denominator Rational, we can Multiply the numerator as well the Denominator by $\sqrt{2}$ $sqrt2$

$\frac{12}{\sqrt{2}}$ $12/sqrt2$ $\cdot$ $*$ $\frac{\sqrt{2}}{\sqrt{2}}$ $sqrt2/sqrt2$

= $\frac{12 \cdot \sqrt{2}}{\sqrt{2} \cdot \sqrt{2}}$ $(12*sqrt2)/(sqrt2*sqrt2)$

= $\frac{12 \sqrt{2}}{2}$ $(12sqrt2)/2$

= $6 \sqrt{2}$ $6sqrt2$

The Denominator of $6 \sqrt{2}$ $6sqrt2$ is 1, which is a Rational Number. It means that we have successfully simplified the fraction.

How do you simplify 12/sqrt212√212/sqrt2?