How do you simplify $12/sqrt2$ ?

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Answer 1 · 2015-04-06T04:10:49

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

$12/sqrt2$ $*$ $sqrt2/sqrt2$

= $(12*sqrt2)/(sqrt2*sqrt2)$

= $(12sqrt2)/2$

= $6sqrt2$

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

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