The cube source of 343, denoted as 3√343, is a value which gives the original value as soon as we multiply it 3 times by itself. This is the basic definition of the cube root. Suppose, ‘n’ is the worth of 3√343, climate n × n × n = n3 = 343. In this article, us will find the value of n, utilizing the prime factorisation method.

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How to find Cube source of 343

Usually, we usage prime factorisation an approach to find the prime components of the given number. Therefore, if we evaluate prime factors of 343, climate we must pair castle in a group of three which will give the cube the factors. Hence, as soon as we have discovered the cube of determinants of a number, we can apply the cube root, which it s okay cancelled v the cubes.

Let us recognize it in a action by step procedure.

Step 1: discover the prime factors of 343

343 = 7 × 7 × 7

Step 2: Clearly, 343 is a perfect cube. Therefore, group the determinants of 343 in a pair of three and also write in the kind of cubes.

343 = 7 × 7 × 7

343 = 73

Step 3: Now, we will apply cube source to both the sides of the over expression to take the end the hatchet in cubes.

3√343 = 3√(73)

So, below the cube source is cancelled by the cube of 7.

Hence, 3√343 = 7

Finding the cube root of perfect cubes approximately three-digit numbers is straightforward if us memorise the below-given table.

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Number (n)

Cubes (n3)

1

1

2

8

3

27

4

64

5

125

6

216

7

343

8

512

9

729

10

1000


But to find the cube source of four-digit numbers, we have to use the estimate method.


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