Question

How do you simplify 10 square root 40?

Answer 1

`=color(blue)(20sqrt10`

Explanation:

Prime factorising `sqrt40` we get:

`sqrt(40) = sqrt(2*2*2*5)= sqrt(2^2*10) = color(blue)(2sqrt10`

The expression now becomes:

`10sqrt40= 10 * color(blue)(2sqrt10`

`=color(blue)(20sqrt10`