Q. Express the radical using the imaginary unit, i.Express your answer in simplified form.±−70=±□
Express as product of square roots: Express ±−70 as the product of square roots and −1.±−70=±−1⋅70
Recognize imaginary unit: Recognize that −1 is the imaginary unit i. ±−70=±−1×70 = ±i×70
Simplify square root of 70: Simplify the square root of 70 by looking for perfect square factors.70=2×35=2×5×7Since there are no perfect square factors in 70, we cannot simplify 70 further.
Combine with imaginary unit: Combine the imaginary unit with the simplified radical. ±−70=±i⋅70
More problems from Introduction to complex numbers