The square root of a positive number is always positive.

Every positive real number has two real nth roots if n is an even number.

The nth root of a product is equal to the product of the nth roots of the factors.

The nth root of a quotient is equal to the quotient of the nth roots of the numerator and the denominator.

The cube root of a negative number is not a real number.

The fourth root of any positive number is always less than the square root of that number.

For any real number a and any positive integer n, $\sqrt[ى]{an}=a$

The nth root of zero is always zero, where $n\ne0$ .

The nth root function is only defined for positive numbers.

The nth root of a sum is equal to the sum of the nth roots of the terms.