Definition Of Cube Root

Cube root of a number a is given as  or  . For example cube root of 64 == =4.

More About Cube Root

Cube root is nothing but the one of the identical factors of a given number.
All the real numbers have exactly one real cube root and 2 complex roots.
All the non-zero complex numbers have three distinct cube roots.

Video Examples: Cube Root

Example of Cube Root

Cube root of 724 is = 9, because 9 × 9 × 9 = 724.
Cube root of x³y⁶z³ is  .

Solved Example on Cube Root

Ques: Find the cube root of 1331.

Choices:

A. 11
B. 9 
C. 12 
D. 12.1 
Correct Answer: A

Solution:

Step 1: Cube root of 1331 = 
Step 2:  =  [ = (a)1/n.]
Step 3: = [1331 can be written as 11 × 11 × 11 = 113.]
Step 4: = 11^{3 . 1/3} [(an)m = amn]
Step 5: = 11
Step 6: So, cube root of 1331 is 11.

Related Worksheet

• Factors-of-Whole-Number-to-100-Gr-4
• Volume-of-Rectangular-Prisms-and-Cubes---Cubic-Units-Gr-5
• Converting-Fractions,-Decimals-and-Percents-Gr-7
• Reading-and-Writing-Whole-Numbers-to-1,000,000-Gr-4
• Converting-Units-within-the-Customary-System-Gr-4