Search results
Results From The WOW.Com Content Network
This cube root is called the principal cube root and is the cube root with the largest real part. In the case of negative real numbers, the two nonreal roots share the same largest real part, and the principal cube root is the one with positive real part; so, it is different from the real cube root.
In the case of three real roots, the square root expression is an imaginary number; here any real root is expressed by defining the first cube root to be any specific complex cube root of the complex radicand, and by defining the second cube root to be the complex conjugate of the first one.
A square root of a number x is a number r which, when squared, becomes x: =. Every positive real number has two square roots, one positive and one negative. For example, the two square roots of 25 are 5 and −5. The positive square root is also known as the principal square root, and is denoted with a radical sign:
The cube root of 456533 is 77. This process can be extended to find cube roots that are 3 digits long, by using arithmetic modulo 11. [3] These types of tricks can be used in any root where the order of the root is coprime with 10; thus it fails to work in square root, since the power, 2, divides into 10. 3 does not divide 10, thus cube roots work.
The two square roots of a negative number are both imaginary numbers, and the square root symbol refers to the principal square root, the one with a positive imaginary part. For the definition of the principal square root of other complex numbers, see Square root § Principal square root of a complex number.
Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!
The other roots of the equation are obtained either by changing of cube root or, equivalently, by multiplying the cube root by a primitive cube root of unity, that is . This formula for the roots is always correct except when p = q = 0 , with the proviso that if p = 0 , the square root is chosen so that C ≠ 0 .
Ad-Free AOL Mail is only available when viewing email on the web from a computer or mobile device. If you access AOL Mail from the AOL Desktop software or mobile app, you will continue to see paid ...