Question

How do you simplify `sqrt5 - sqrt 45`?

Answer 1

`-2.sqrt5`

Explanation:

`sqrt5 - sqrt45`

We have,`sqrt45` = `3. sqrt5`
as `45= 3^2 .5` `=sqrt(3^2. 5)`

and applying radical rule `\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}`

`=3. sqrt5`

Nowm as per question,
=`sqrt5 -3.sqrt5`
=`-2 sqrt5`