At your stage of math education, you haven't learned how to handle the square
root of any negative number yet, whether it's a whole number, a fraction, or a
decimal.
To indicate the square root of a negative number, temporarily ignore the minus sign,
find the square root of the positive number, and then write the letter " i " next to
the answer. That shows that the number is imaginary, and in a few years, you'll
learn what that means and how to work with it.
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There is no square root for a negative number. It is an imaginary number.
Yes, the square root of 3 is a real number. (It is not imaginary. The square root of a negative number is imaginary.) The square root of 3 is not a rational number. It cannot be written as a fraction.
The square root of negative 168 is: ~12.9315 i
The square root of a negative number is known as an imaginary number. In this case, the square root of negative 37 would be represented as √(-37) = √37i, where "i" is the imaginary unit equal to the square root of -1. This means that the square root of negative 37 is the square root of 37 multiplied by the imaginary unit "i".
Square roots of negative numbers are what are called imaginary numbers. The building block of imaginary numbers is the symbol i which is defined as the square root of negative 1. The square root of other negative numbers can be expressed using i. For example, the square root of negative sixteen is 4i, the square root of negative nine is 3i and so on.