Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you simplify $\frac{3}{2 \sqrt{2}}$ $3 / (2 sqrt2)$ ?

1 Answer

Oct 5, 2015

The most you can do is rationalize the denominator to get
$\frac{3 \sqrt{2}}{4}$ $(3sqrt(2))/4$

Explanation:

$\frac{3}{2 \sqrt{2}} = \frac{3}{2 \sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$ $3/(2sqrt(2))= 3/(2sqrt(2))*sqrt(2)/sqrt(2)$

$XXXX = \frac{3 \sqrt{2}}{2 {(\sqrt{2})}^{2}}$ $color(white)("XXXX")=(3sqrt(2))/(2(sqrt(2))^2)$

$XXXX = \frac{3 \sqrt{2}}{2 \cdot 2}$ $color(white)("XXXX")=(3sqrt(2))/(2*2)$

$XXXX = \frac{3 \sqrt{2}}{4}$ $color(white)("XXXX")=(3sqrt(2))/4$

Related questions

See all questions in Multiplication and Division of Radicals

Impact of this question

1114 views around the world

You can reuse this answer
Creative Commons License