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Why does the square root of -25 have no real solution?

Anonymous

∙ 15y ago

Updated: 9/16/2023

Because the square root of -25 would be that number that, squared, would equal -25. No number, positive or negative, can result in a negative square. Since -25 is a negative number, no number, positive or negative, can be squared to equal -25.

Wiki User

∙ 15y ago

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Q: Why does the square root of -25 have no real solution?

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What is the real number root of -25?

There is no real number [square] root of a negative number. There is a real cube root and a real fiftth root etc, but root, by itself, implies square root.

Is the square root of 8 over 25 rational irrational or a real number?

The square root of 8 over 25 is irrational, and real.

What are the real square root of 625?

+25.

Is the square root of 25 a real number?

no. is not a real number

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.

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Related Questions

Why does the square root of 25 not have a real solution?

You can't take the square root of a negative number. The square root of -25 is 5i. It's an imaginary number.

Can the square root of 25 be a real number?

the square root of 25 is 5

Is the root of 25 a real number?

Yes. The square root of 25 is 5, which is a real number.

What is the real number root of -25?

There is no real number [square] root of a negative number. There is a real cube root and a real fiftth root etc, but root, by itself, implies square root.

Is the square root of 8 over 25 rational irrational or a real number?

The square root of 8 over 25 is irrational, and real.

What are the real square root of 625?

+25.

Is the square root of 25 a real number?

no. is not a real number

Is radical 25 a real number?

If by "radical" you mean "square root of", then yes. Both square roots of 25 are real numbers.

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.

Why cant you evaluate square root -25?

You cannot in real numbers because the square of any number, negative or positive, is positive. However, -25 does have a square root in complex numbers: it is + or - 5i where i is the imaginary square root of -1.

Is the square root of negative 25 a rational number?

The square root of -25 is not a real number, as it involves taking the square root of a negative number which results in an imaginary number. In this case, the square root of -25 is 5i, where i represents the imaginary unit. Since rational numbers are a subset of real numbers, the square root of -25, being an imaginary number, is not a rational number.

What is square of square root of 25?

The square root of 25 is 5.

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