How do you simplify 3/ sqrt 2?

2 Answers
Meave60
Jun 18, 2018

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

Tony B
Jun 18, 2018

(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)

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