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The square root of a negative number is not real.

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Q: How do you do a square root of a negative number that is not a perfect square?
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What is the root of a perfect square?

The root of a perfect square will be an integer, but will be both the positive and negative values. For instance, the square root of 4 is plus or minus 2 (±2), as both integral answers are valid. The positive real root is the answer that many books give. It is sometimes called the primary root. But the key point is both roots are valid.


How do you check if a number is a perfect square?

For a number to be a perfect square, the number's square root has to be a whole number. 9 is a perfect square because its square root is a whole number, 3. If the square root of the number is a decimal, then it is not a perfect square. For example, 13 does not divide evenly so it not a perfect square.


What is perfect square root?

A perfect square root is where the square root of a number equals another whole number. For example, the square root of 144 is 12. 12 is a whole number thus 144 is a perfect square root.


A perfect square is a number that has an integer square root?

Yes, a perfect square is a number that has an integer square root.


Why is it impossible to square a negative number?

you can square a negative number but you can not square root a negative number


What is the square root of a negative number plus the square root of a negative number?

Nothing. You cannot have a square root of a negative number. The square root of negative one is called i, but i is an imaginary number. It does not exist and does not follow the properties of real numbers. (For example, if a and b are positive, then the square root of a times the square root of b is the square root of ab. But the square root of -7 is not the square root of 7 times i.)


Is the square root of a positive number an irrational number?

Sometimes the square root of a positive number can be irrational, as in the square root of 2 (which is a non-perfect square number), but sometimes it is a rational number, as in the square root of 25 (which is a perfect square number).


Can a root of a perfect square be negative?

Yes. Every perfect square has two roots: one positive and one negative.


How do you find the negative square root of 5?

A negative square root is an imaginary number.


How do you get the square root of negative 144?

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


Why is square root of 9 a rational number and square root of 3 is an irrational number?

Because 9 is a perfect square - which means that its square root is an integer. 3 is not a perfect square.


Is the square root of negative 11 a real number?

No. In general, the square root of a negative number is an imaginary number, which is not a real number.