Question

How do you simplify √150 ÷ √3?

Answer 1

`=color(blue)(5sqrt2`

Explanation:

Prime factorising: `sqrt150 = sqrt(3*5*2*5)`

`=5sqrt6`

Now:
`sqrt150/sqrt3 = (5sqrt6)/sqrt3`

`sqrt 6 =sqrt2 * sqrt3`

So,
`(5sqrt6)/sqrt3 = (5cancelsqrt3*sqrt2)/cancelsqrt3`

`=color(blue)(5sqrt2`