Question

Which choice is equivalent to the expression below? √-27

Answer 1

it is 3i√3

Explanation:

because √-27= √-9(3)= 3(-1)√3= 3i√3

Answer 2

`\large\boxed{√(-27)=3i\sqrt3}`

Explanation:

`√(-27)\\\\\text{In the set of real numbers, this number does not exist.}\\\\\text{In the set of complex numbers:}\\\\i=√(-1)\\\\√(-27)=√((27)(-1))\qquad\text{use}\ √(ab)=√(a)\cdot√(b)\\\\=√(27)\cdot√(-1)=√(9\cdot3)\cdot i=\sqrt9\cdot\sqrt3\cdot i=3i\sqrt3`