Question

find the cobe roots of the following. ;) 9261​

Answer 1

Answer:

Cube root of 9261, 3√9261 = 21

Step-by-step explanation:

Cube Root of 9261 by the Prime Factorisation Method

Here, we will use the prime factorisation method to find the prime factors of 9261. After that, we will pair identical prime factors in a group of three to represent them as cubes. Since the cubes of a number cancel the cube root, therefore we will get the required value.

Let us understand step by step:

Step 1: Find the prime factors of 9261

9261 = 3×3×3×7×7×7

Step 2: Pair the identical factors in a group of three and write in the form of cubes.

9261 = (3×3×3)×(7×7×7)

9261 = 33×73 [By exponent law: amxan = am+n]

9261 = (3×7)3 [By exponent law: amxbm = (ab)m]

9261 = 213

Step 3: Apply cube root to both sides of the above expression.

3√9261 = 3√(213)

The cube root gets cancelled by the cube of 21.

Hence, 3√9261 =21

Answer 2

Answer:

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Step-by-step explanation:

21 is the cube root of 9261