Question

simplify the expression write your answer as a complex number. three square root of 16 plus square root of - 9​

Answer 1

`\large\boxed{3√(16)+√(-9)=12+3i}`

Explanation:

`3√(16)+√(-9)\\\\√(16)=4\ \text{because}\ 4^2=16\\\\√(-9)=√((9)(-1))\qquad\text{use}\ √(ab)=√(a)\cdot√(b)\\=\sqrt9\cdot√(-1)=(**)\\\sqrt9=3\ \text{because}\ 3^2=9\\√(-1)=i\\(**)=3i\\\\3√(16)+√(-9)=(3)(4)+3i=12+3i`