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

1 Answer

3 votes

Answer:


√(-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

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