Question

How do you simplify `-sqrt40`?

Answer 1

`-2sqrt10`

Explanation:

`-sqrt40 rarr` Look for any perfect squares

`-sqrt(4*10) rarr` `4` is a perfect square

`-2sqrt10`

Answer 2

`-2sqrt10`

Explanation:

Note here that:

`sqrt(ab)=(ab)^(1/2)=>a^(1/2)*b^(1/2)`

Factor `40`

`=>-sqrt(4*10)`

`=>-(4)^(1/2)*10^(1/2)`

`=>-sqrt4*sqrt10`

`=>-2sqrt10`

Answer 3

`-2sqrt10`

Explanation:

`-sqrt40` is the same thing as `-sqrt(4*10)`. Since 4 is a perfect square, (2*2=4) or (`sqrt(4)=2`), you can take four out of the radical to simplify to `-2sqrt10`.