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: 7Cube source of 343 in exponential form: (343)⅓Cube source of 343 in radical form: ∛343

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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: 73

Therefore, 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).

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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).