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How negative number can have neither a positive nor negative square root why is this true?
Wiki User
∙ 14y ago
This is true because to square a number means to multiply it with itself. For example: 2 x 2 = 4 is the same as 2^2.
But also keep in mind that a negative multiplied with itself is a positive, because a negative times a negative will always equal a positive:
-2 x -2 = 4, or -2^2
So, -4 cannot have a negative or a positive square because -2^2= 4 and 2^2=4
Wiki User
∙ 14y ago
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Is the square of any real number is positive?
no. Because square of zero is neither positive nor negative.
When can the square of a negative number be negative?
This can never be. The square of any number will always be positive. Any positive number multiplied by another positive number will be positive, while any negative number multiplied by another negative number will be positive.
What 2 numbers would be the square root of 53?
Every positive integer has two square roots, a positive square root and a negative square root. This is because, just like a positive number multiplied by a positive number is equal to a positive number, a negative number multiplied by a negative number is equal to a positive number. Therefore, rounded to two decimal places, the positive square root is equal to 7.28, and the negative square root is -7.28.
When squaring a negative number if the factor is a negative and the exponent is positive will your answer be negative or positive?
If you square any real number it will always be positive.
What is the principal root of -25?
The principal root of a number is the positive real square root of the number - if it exists. Since -25 is negative, it does not have a real square root. Its square roots are the imaginary numbers +/-5i where i is the [imaginary] square root of -1. i is neither positive nor negative and so neither +5i nor -5i is a principal root.
Is the square of any real number is positive?
no. Because square of zero is neither positive nor negative.
Is the square of a negative number a positive or negative number?
It is positive.
Is the square root of any real number always positive?
The square root of a real number is not always positive. The square root of any positive number is positive, the square root of zero is zero (not positive), and the square root of a negative number is complex (i.e. neither positive nor negative). The square root of 16 = -4 or 4. The square root of 0 = 0 The square root of -16 = -4i or 4i
Is the square of a negative number positive or negative?
Positive.
When can the square of a negative number be negative?
This can never be. The square of any number will always be positive. Any positive number multiplied by another positive number will be positive, while any negative number multiplied by another negative number will be positive.
Can you square an integer and get a negative number?
No. The square of a positive number is positive; the square of a negative number is also positive; and the square of zero is zero. If you want to square a number and get a negative result, you need complex numbers. For example, the square of 2i is -4.
The square of a positive integer?
The square of a positive number is positive. By the way, the square of a negative number is also positive.
What is value of square of negative iota?
The square of negative iota will be the same as the square of positive iota (i.e. -1) because when a negative number is multiplied by a negative number, the answer is positive.
What 2 numbers would be the square root of 53?
Every positive integer has two square roots, a positive square root and a negative square root. This is because, just like a positive number multiplied by a positive number is equal to a positive number, a negative number multiplied by a negative number is equal to a positive number. Therefore, rounded to two decimal places, the positive square root is equal to 7.28, and the negative square root is -7.28.
All positive numbers have two square root a positive and a negative why?
The product of two negative numbers is a positive number. Ergo, the product of the square of a number is equal to the square of its negative equivalent.
Why is the square of a number always a positive number?
The square of a number is always two numbers multiplied together. A positive times a positive is always positive, and a negative times a negative is always positive.
When squaring a negative number if the factor is a negative and the exponent is positive will your answer be negative or positive?
If you square any real number it will always be positive.
