Question

cube root of 216m3
pls tell me ​

Answer 1

Step 1: Find the prime factors of 216

216 = 2 × 2 × 2 × 3 × 3 × 3

Step 2: Clearly, 216 is a perfect cube. Therefore, group the factors of 216 in a pair of three and write in the form of cubes.

216 = (2 × 2 × 2) × (3 × 3 × 3)

216 = 23 × 33

Using the law of exponent, we get;

216 = 63 [ambm = (ab)m]

Step 3: Now, we will apply cube root on both the sides to take out the factor as a single term, which is in cubes.

3√216 = 3√(63)

So, here the cube root is cancelled by the cube of 6.

Hence, 3√216 = 6

Finding the cube root of perfect cubes up to three-digit numbers is easy if we memorise the below-given table.

Number (n)

Cubes (n3)

1

1

2

8

3

27

4

64

5

125

6

216

7

343

8

512

9

729

10

1000

Answer 2

Answer:

cube root of 216=3√216=6

this is your answer