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

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Cube root of 343: 7Cube root 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 3 times offers the product as 343. Because 343 deserve to be expressed together 7 × 7 × 7. Therefore, the cube source of 343 = ∛(7 × 7 × 7) = 7.


Cube root of 343 by prime Factorization

Prime administrate of 343 is 7 × 7 × 7Simplifying the above expression: 73

Therefore, the cube source of 343 by prime factorization is (7 × 7 × 7)1/3 = 7.


No, because ∛343 = ∛(7 × 7 × 7) have the right to be expressed in the type of p/q i.e. 7/1. Therefore, the value of the cube root of 343 is an integer (rational).

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

Solution:

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


 

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FAQs top top Cube root of 343

What is the value of the Cube root of 343?

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

How to leveling the Cube root of 343/512?

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

Why is the value of the Cube root of 343 Rational?

The worth of the cube source of 343 have the right to be expressed 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 root 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 root of 343 is 7, find the worth of ∛0.343.

Let us stand for ∛0.343 in p/q form i.e. ∛(343/1000) = 7/10 = 0.7. Hence, the worth of ∛0.343 = 0.7.

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Is 343 a Perfect Cube?

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