Cube Root of 343

What is the Value of the Cube Root of 343?

We can also write 343 in the form of (7×7×7) hence, ∛343 = ∛(7×7×7) = 7. Hence, the cube root of 343 is 7.

How to Simplify the Cube Root of 343/512?

We know that the cube root of 343 is 7 and the cube root of 512 is 8. Hence, ∛(343/512) = (∛343)/(∛512) = 7/8 = 0.875.

Why is the Cube Root of 343 Rational?

The cube root of 343 can be expressed in the form of p/q, that is, = 7/1, where q ≠ 0. Consequently, ∛343 is rational.

If the Cube Root of 343 is 7, Value of ∛0.343 is?

We will represent √[0.343] in p/q form which is ∛(343/1000) = 7/10 = 0.7. Thus, ∛0.343 = 0.7.

Is 343 a Perfect Cube?

343 has 7 × 7 × 7 as its prime factorization. On combing the prime factors in groups of 3 gives 7. Hence, cube root of 343 is ∛(7 × 7 × 7) = 7 (perfect cube).



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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Cube Root Definition

In mathematical terms, if x represents the input value, then the cube root ∛x​, or simply written as x1/3, yields the positive real number whose cube equals x....

What is the Cube Root of 343?

The cube root of 343 is worth 7. the real value of the equation x = 343 is x3 . The radical form of 343 cube root is ∛343 while (343)1/3 or (343)0.33 are its exponent forms. For the cube root of 343 being an integer, 343 is a perfect cube....

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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:...

Is the Cube Root of 343 Irrational?

Cube Root of 343 is not an irrational number. In fact, the cube root of 343 is equal to 7, which is a rational number....

Conclusion

In conclusion, cube root of 343 is is 7 and we can calculate that easily using prime factorization. In this article, we have explored the method prime factorization to calculate the cube root of 343....

Cube Root of 343 Solved Examples

Example 1: Simplify this expression: 2 × ∛343 + 10?...

FAQs on Cube Root of 343

What is the Value of the Cube Root of 343?...