It is a real but an irrational number
No, it is not even a real number. The square root of negative 5 is the square root of 5, times i.
X is greater than 5. If X were equal to 5, X-5 would be 0 which has no real square root. If X were 4, X-5 would be -1 which has no real square root, and so on.
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.
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.
It is real and irrational.
No, it is not even a real number. The square root of negative 5 is the square root of 5, times i.
the square root of 25 is 5
X is greater than 5. If X were equal to 5, X-5 would be 0 which has no real square root. If X were 4, X-5 would be -1 which has no real square root, and so on.
Yes. The square root of 25 is 5, which is a real number.
it is but its not a rational #
You can't take the square root of a negative number. The square root of -25 is 5i. It's an imaginary number.
The square root of 5 is the positive real number that, when multiplied by itself, gives the prime number 5.
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.
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.
It is real and irrational.
Square root of 5 time square root of 6 is the same as square root of 5 x 6, that is, square root of 30.
Restricting the discussion to real numbers for now. In this case, the square root is only defined for non-negative numbers; the principal square root of a positive number is the POSITIVE square root. For example, both +5 and -5 are square roots of 25, since both - when squared - give you 25. But the positive square root (+5) is called the principal square root, and if you write the square root symbol, that's the number usually meant.