Question

How do you simplify `12/sqrt2`?

Answer 1

• 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.