What is the equivalent form of square root of -800?

Answer 1

Square roots of negative real numbers do not exist in the real number system. They exist in the complex number system, using the imaginary unit i making √−800 an imaginary number. Imaginary numbers cannot be represented by real numbers, as there is no real number whose square is a negative number. To overcome this problem, the letter i  is introduced to represent √−1; so i = √−1.

All imaginary numbers can now be expressed in terms of i. So you can find the equivalent form of √−800 by expressing it as an imaginary number.

√−800 = √800 x √−1 = √400 x √2 x √−1 = 20√2√−1 = 20i √2

(√-800 can be factored as √400 x √2 x √−1, where √400 can be simplified to 20,√2 is a prime number and cannot be simplified, and i = √−1.)

So the equivalent form of the square root of √−800 is 20i √2.

Answer 2

square root = -800

= sqr(-800)

=20isqr(2)

= 20i(2)^.5

it's an imaginary number. i=sqr(-1)