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

##### 1 Answer

May 21, 2018

#### 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#