How do you simplify by rationalizing the denominator $sqrt(5 / 2x)$ ?

Question

1715 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-04-10T06:57:23

The answer is $sqrt 10/2x$ .

$(sqrt(5)/sqrt (2))x$

Simplify.

$(sqrt 5)/(sqrt 2)x$

Rationalize the denominator by multiplying by $sqrt 2/sqrt2$

$(sqrt 5)/(sqrt 2)*sqrt 2/sqrt 2$ =

$(sqrt 5*sqrt 2)/(2)x$

Simplify.

$sqrt 10/2x$

How do you simplify by rationalizing the denominator sqrt(5 / 2x)sqrt(5 / 2x)?