Principal Square Root Definition Math

Mathematics a complex number which when raised to the power of n yields the radicand of its n th degree radical and which has the greatest real part among all such numbers and positive imaginary part in case of equality of the real parts. The symbol is which always means the positive square root. Every perfect square number has two square roots positive and negative.

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This is a page from the dictionary math spoken here published in 1995 by mathematical concepts inc isbn.

Principal square root definition math. 36 find the cube roots of. Definition of principal square root. Note that 4 4 16 too so 4 is also a square root of 16. The concept of principal square root is only valid for positive real numbers and not valid for negative real numbers.

The unique nonnegative square root of a nonnegative real number. The nonnegative square root of a number. More about principal square root. The non negative positive square root of a number is called its principal square root.

The concept of principal square root cannot be extended to real negative numbers since the two square roots of a negative number cannot be distinguished until one of the two is defined as the imaginary unit at which point and can then be distinguished. When the square root of a number is a whole number meaning no non zero digits. Find the square roots of. You are hereby granted permission to make one printed copy of this page and its picture s for your personal and not for profit use.

The square roots of 4 are 2 and 2 the principal square root of 4 is 2. 4 4 16 so a square root of 16 is 4. A square root of a number is a value that when multiplied by itself gives the number. For example the principal square root of 9 is 3 although both and 3 are square roots of 9.

Unless otherwise stated the square root of a number refers only to the principal square root. Every positive real number has a positive and a negative square root. The square root of x is rational if and only if x is a rational number that can be represented as a ratio of two perfect squares. The principal square root function usually just referred to as the square root function is a function that maps the set of nonnegative real numbers onto itself.

The principal square root is the positive number square root. In geometrical terms the square root function maps the area of a square to its side length. The positive root is called the principal root.