How to simplify radicals

Radicals ( or roots ) are the opposite of exponents. For instance, 3 squared equals 9, but if you take the square root of nine it is 3.
For example
4^2=16 and √16 =4
2^3=8 and ∛8 = 2
3^3= 27 and ∛27=3

The check mark √ is called the radical symbol and gives you three pieces of important information, the degree, the radical symbol, and the radicand.

The Degree is the number of times the number ( called the radicand) has been multiplied by itself.

A degree of 3 is a cube root, a 4 is the fourth root. Most times for a square root a degree will be missing, and it is assumed that it is a square root.

Memorizing perfect cubes will also help when simplifying radicals

8 = 2 x 2 x 2           125 = 5 x 5 x 5           512 8 x 8 x 8

27= 3 x 3 x3           216 = 6 x 6 x 6           729 = 9 x 9 x 9

64 = 4 x 4 x 4         343 = 7 x 7 x 7

 

Simplifying Radicals Calculator