How do you simplify #12/sqrt2#?

1 Answer
Apr 6, 2015
  • 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.