Study guides

☆☆

Q: Why is the square root of any real number is always sometimes or never positive?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

never a negative

Sometimes.

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.

If you square any real number it will always be positive.

Always

Related questions

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.

A positive number times a positive number is always positive. A negative number times a negative number is always positive. Therefore, any square number will be positive. Any number to the fourth power (a square times a square) will always be positive. And so on.

Remember that when two numbers with the same sign are multiplied,their product is always positive.

never a negative

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).

Sometimes.

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

The square of a negative number is always positive. The square of -8 = 64, a rational number

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.

a positive integer

If you square any real number it will always be positive.

This is related to the fact that the square of both a positive and a negative number is always positive. The last term is simply the square of the second term, in the original binomial.

People also asked