Mathematics has created an identity, i2 such that i2 = -1.
The set of numbers whose squares are negative real numbers are called imaginary numbers. Members of this set are, for example √-11, √-36.
In general, a member of this set is √-n2 where n is a real number.
To solve a negative square root, then :
√-n2 Ξ √(n2 x -1) Ξ √n2 x √-1 Ξ ni where i = √-1
EXAMPLE : Solve √-16, then √-16 = √(16 x -1) = √16 x √-1 = 4i
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To solve equations with absolute values in them, square the absolute value and then take the square root. This works because the square of a negative number is positive, and the square root of that square is the abosolute value of the original 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 usual rules for "order of operation" apply. Don't forget that the square root of a negative number is an imaginary number. As an example, the square root of -9 is 3i (that is, the square root of +9, times the "imaginary unit").
No, pi is not used to solve a square root problem.
The square root of a negative number is not real.