How do you simplify $\frac{5}{\sqrt{10}}$ $5/sqrt10$ ?

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Answer 1 · 2016-10-04T22:34:29

$\frac{\sqrt{10}}{2}$ $sqrt10/2$

You have to follow a process called rationalizing when you have a denominator that is an irrational number.

In this process you multiply the numerator and denominator by the irrational number that is in the denominator.

$\frac{\sqrt{10}}{\sqrt{10}}$ $sqrt10/sqrt10$

This is the same as multiplying by 1, so the look of the ratio but it is still equivalent.

$\frac{\sqrt{10}}{\sqrt{10}}$ $sqrt10/sqrt10$ is the same as 1.

$5/sqrt10*sqrt10/sqrt10=(5sqrt10)/sqrt100=(5sqrt10)/10=(cancel5sqrt10)/(cancel5*2)=sqrt10/2$

Answer 2 · 2016-10-04T22:38:01

Always multiply by the surd you want to eliminate ( $sqrt(10)$ )

$5/sqrt(10)$ = $5/sqrt(10) * sqrt(10)/sqrt(10)$
$=(5*sqrt(10) ) / 10$
$=sqrt(10) / 2$
$=sqrt(2*5) / 2$
$=1/2sqrt(10)$
$=1/2 sqrt(2) sqrt(5)$

How do you simplify 5/sqrt105√105/sqrt10?