Question

Write the number in the form a+bi square root of -64+2?

Answer 1

`√(-64)+2=2+8i`

Explanation:

`i=√(-1)\\\\√(-64)=√((64)(-1))\qquad\text{use}\ √(ab)=√(a)\cdot√(b)\ for\ a\geq0\ and\ b\geq0\\\\=√(64)\cdot√(-1)=8\cdot i=8i\\\\\text{Therefore:}\\\\√(-64)+2=8i+2=2+8i`