Question

How do you simplify `sqrt 8 times sqrt 4`?

Answer 1

`4sqrt2`

Explanation:

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

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

`sqrt8xxsqrt4=sqrt(8xx4)=sqrt32`

`sqrt32=sqrt(16xx2)=sqrt16xxsqrt2=4sqrt2`

Answer 2

`4sqrt2`

Explanation:

`sqrt8xx sqrt 4`

`:.=sqrt(2*2*2)xx2`

`:.=sqrt 2xx sqrt 2=2`

`:.=2 sqrt 2xx2`

`:.=4sqrt 2`