1. Cube roots

2. Cube Root
The cube root of a number is a special value that when cubed gives the original number. Cube of 3 = 3 × 3 × 3 = 27, so the cube root of 27 is 3.
Cube root of a number a =
Where
means cube root
Cube root of a number a is raised to the power of
= a

3. - - - - - - - 2 8 8 = ∛2 Ans : cube root of 8 = 2 (2 x 2 x 2 =2 ) =(23
Ans
: cube root of 8 = 2
(2 x 2 x 2 =2 3 )
=(2 3 ) =2 - 5 -
125 ∛ -
125 = 5 3
Ans
: cube root of -
125 = 5 =( - 5 3 ) ( -
5 x
5 = 5 3 ) = - 5 7
343 ∛
343 = 7 3
Ans
: cube root of 343 = 7
=(7 3 )
(7 x 7 x 7 =7 3 ) =7 11
1331 ∛
1331 =
1331 3
=(11 3 )
Ans
: cube root of 1331 =11
(11 x 11 x 11 =11 3 )
=11

4. Try These
1) Find the cube root of the following
(i) ∛ (ii) ∛216