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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using basic math principles, you can't find the square root of a negative number because in order for a number to be a square root, you have to multiply it by itself to get your radical. since a negative times a negative and a positive times a positive are both positive, it is impossible to find the square root of a negative number
square root of a negative number is imaginary square root of negative 1 is defined as i square root of negative 144 is sqrt ((144)(-1)) = 12i
The square root of a negative number is not real.
Negative 64 is the square root of an integer. The square root of -64 is not an integer.