Question

How do you express `3sqrt(-48)` as a product of a real number and i?

Answer 1

`12sqrt3i`

Explanation:

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

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

`sqrt(-48)=sqrt(16xx3xx-1)`

`color(white)(xxxx)=sqrt16xxsqrt3xxsqrt-1`

`color(white)(xxxx)=4sqrt3i`

`rArr3(4sqrt3i)=12sqrt3i`