The value of the cube source of 343 is 7. It is the real solution of the equation x3 = 343. The cube root of 343 is expressed as ∛343 in radical kind and as (343)⅓ or (343)0.33 in the exponent form. Together the cube source of 343 is a entirety number, 343 is a perfect cube.

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**Cube source of 343:**7

**Cube source of 343 in exponential form:**(343)⅓

**Cube source of 343 in radical form:**∛343

1. | What is the Cube root of 343? |

2. | How to calculation the Cube source of 343? |

3. | Is the Cube source of 343 Irrational? |

4. | FAQs ~ above Cube root of 343 |

The cube source of 343 is the number which when multiplied through itself three times offers the product together 343. Since 343 have the right to be expressed together 7 × 7 × 7. Therefore, the cube source of 343 = ∛(7 × 7 × 7) = 7.

### Cube source of 343 by element Factorization

Prime factorization of 343 is 7 × 7 × 7Simplifying the above expression: 73Therefore, the cube root of 343 by element factorization is (7 × 7 × 7)1/3 = 7.

No, due to the fact that ∛343 = ∛(7 × 7 × 7) can be expressed in the kind of p/q i.e. 7/1. Therefore, the worth of the cube source of 343 is an essence (rational).

**☛ also Check:**

**Example 2: What is the value of ∛343 + ∛(-343)?**

**Solution: **

The cube source of -343 is equal to the an adverse of the cube root of 343.i.e. ∛-343 = -∛343Therefore, ∛343 + ∛(-343) = ∛343 - ∛343 = 0

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## FAQs ~ above Cube root of 343

### What is the value of the Cube source of 343?

We deserve to express 343 together 7 × 7 × 7 i.e. ∛343 = ∛(7 × 7 × 7) = 7. Therefore, the worth of the cube source of 343 is 7.

### How to simplify the Cube source of 343/512?

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

### Why is the value of the Cube source of 343 Rational?

The worth of the cube source of 343 have the right to be to express in the form of p/q i.e. = 7/1, wherein q ≠ 0. Therefore, the ∛343 is rational.

### What is the value of 9 to add 8 Cube source 343?

The worth of ∛343 is 7. So, 9 + 8 × ∛343 = 9 + 8 × 7 = 65. Hence, the value of 9 plus 8 cube source 343 is 65.

### If the Cube source of 343 is 7, uncover the worth of ∛0.343.

Let us represent ∛0.343 in p/q type i.e. ∛(343/1000) = 7/10 = 0.7. Hence, the value of ∛0.343 = 0.7.

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### Is 343 a Perfect Cube?

The number 343 on prime factorization offers 7 × 7 × 7. On combine the prime factors in groups of 3 provides 7. So, the cube source of 343 = ∛(7 × 7 × 7) = 7 (perfect cube).