Cube roots

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. 3 27 Cube root of a number a = Where means cube root Cube root of a number a is raised to the power of = a

- - - - - - - 2 8 8 = ∛2 Ans : cube root of 8 = 2 (2 x 2 x 2 =2 ) =(2 3 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

Try These 1) Find the cube root of the following (i) ∛27 (ii) ∛216