Question

How do you simplify `sqrt(-32)`?

Answer 1

`\sqrt{-32}=4i\sqrt{2}`

Explanation:

`\sqrt{-32}`

`=\sqrt{32}\sqrt{-1}`

`=4\sqrt 2i\quad (\because \sqrt{-1}=i)`

`=4i\sqrt2`

Answer 2

`4isqrt2`

Explanation:

`"using the "color(blue)"law of radicals"`

`•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)`

`"note that "sqrt(-1)=i`

`sqrt(-32)`

`=sqrt(16xx2xx-1)`

`=sqrt16xxsqrt2xxsqrt(-1)`

`=4xxsqrt2xxi`

`=4isqrt2`