show all work to multiply 3 plus the square root of negative 16 times 6 minus the square root of negative 64

Step-by-step explanation:

Using imaginary number rule :

Where is a positive integer.

Multiplying.

Combining like terms.

3 + 16i

Step-by-step explanation:

3 + √-16 * 6 - √-64

= √-16 * 6 = 24i;    √-16 * 6;     √-16 = 4i

= 4 * 6i    multiply the numbers 4 * 6 = 24

= 24 i

√-64 = 8i;   √64    apply a radical rule

= √-1 √64

= √64  i;    √64 = 8

= 8i

= 3 + 24i - 8i

= 3 + 16i