no. is not a real number
The square root of 8 over 25 is irrational, and real.
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.
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.
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.
Yes. The square root of 25 is 5, which is a real number.
no. is not a real number
the square root of 25 is 5
The square root of 8 over 25 is irrational, and real.
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.
You can't take the square root of a negative number. The square root of -25 is 5i. It's an imaginary number.
If by "radical" you mean "square root of", then yes. Both square roots of 25 are real numbers.
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.
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.
The square root of a positive number results in a positive number. For example, the square root of 25 is 5. * * * * * Not true! There are two real square roots for every positive number: one positive and one negative. -5 is as much a square root of 25 as +5 is. However, the positive root is the principal root and so is often presented as the only root.
Any odd root, for example the cube root, of -3.24 is a real number.
Of course, not only can it be a real number but it is a real number. When you take the square root times itself, the result is a number that is real.