Methods to Calculate the Value of the Cube Root of 343
There are various methods to calculate cube root. But for 343 we can use Prime Factorization to calculate cube root of 343. Cube root of 343 is discussed as follows:
Cube Root of 343 By Prime Factorization
Use the following steps to find the cube root of 343
Step 1: Determine the prime factorization of 343.
Thus, prime factorization of 343 is 7 × 7 × 7.
Step 2: Group the prime factors of 343 in groups of three each i.e., 343= (7 × 7 × 7)
Step 3: Use the law of exponents: 343 = (343)1/3
Therefore, the cube root of 343by prime factorization is (7 × 7 × 7 )1/3 = 7.
Cube Root of 343
Cube Root of 343 is 7. This is because 7 multiplied by itself three times (7 × 7 × 7) equals 343. Therefore, the cube root of 343 is the number that, when multiplied by itself three times, equals 343, and that number is 7. In this article, we will learn about Cube Root of 343, its value and methods to calculate it.
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