Nth root

Definition of Nth Root

• In aⁿ = b, where a and b are real numbers and n is a positive integer, a is an n^th root of b.
  It can also be written as .

Examples of Nth Root

• Following are some examples on Nth Root.
• 3 is the fouth root of 81. That is, 3 has to be multiplied by itself 4 times to give 81.
• 2 is the sixth root of 64. That is, 2 has to be multiplied by itself 4 times to give 64.
• 4 is the square root of 16.
• 5 is the cube root of 125.

Solved Example on Nth Root

Find:

Choices:
A. 2ab²
B. 2a²b²
C. 2a⁶b² 
D. 2a²b
Correct Answer: A
Solution:
Step 1:              [Given.]
Step 2:
Step 3:
Step 4: = 2ab²

Related Terms for Nth Root

• Rreal Number
• Integer
• Root