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Because the Square Root of negative 1 = i (The imaginary square root of negative 1.) and where if the square root of one number and of another number are multiplied together, the answer is equal to the square root of the two numbers combined. (Square root of 8 times the square root of 5 equals the square root of 40.)

So...

√(-20)

=√20×√(-1)

=√4×√5×i

=2i(√5)

The answer is 2i times the square root of 5.

square root (-20) = square root (-1) x square root (20)

square root (-20) = i x 4.47213595

square root (-20) = 4.47213595 i

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14y ago

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