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√-12 is an imaginary number since it consists the negative sign inside the radical.

√-12 can also be written as: √(-1 * 12).

This is equal to √-1 * √12 and here √-1 is the ‘i’ value and is the imaginary number.

Hence we get: √-12 = i * √12 and now we can simplify √12.

This implies: √-12 = i * √(2* 2* 3) = i * 2√3.

√-18 is an imaginary number since it consists the negative sign inside the radical.

√-18 can also be written as: √(-1 * 18).

This is equal to √-1 * √18 and here √-1 is the ‘i’ value and is the imaginary number.

Hence we get: √-18 = i * √18 and now we can simplify √18.

This implies: √-18 = i * √(2 * 3 * 3) = i * 3√2.