How do you simplify #3/ sqrt 2#?

2 Answers
Jun 18, 2018

Answer:

#3/(sqrt2)=color(blue)((3sqrt2)/2#

Explanation:

Simplify:

#3/(sqrt2)#

Rationalize the denominator by multiplying the numerator and denominator by #sqrt2#.

#(3sqrt2)/(sqrt2sqrt2)#

Apply rule: #sqrtasqrta=a#

#(3sqrt2)/2#

Jun 18, 2018

Answer:

#(3sqrt2)/2#

Explanation:

It is considered good mathematical practice if you do not have any roots in the denominator. So lets 'get rid' of it!

Multiply by 1 and you do not change the value. However, 1 comes in many forms.

#color(green)(3/sqrt2color(red)(xx1) color(white)("ddd")->color(white)("ddd")3/sqrt2color(red)(xxsqrt2/sqrt2)color(white)("d")=color(white)("d")(3sqrt2)/2)#