The square root of 6 rounded to 6 decimal places is 1.817121.That is the answer to the equation x3 = 6.*6 is the cube root of 6 in radical form, which becomes (6)13 in exponent form, or (6)0.33 if it is expressed as an exponent.The cube root of 6 is 2 * 3, therefore, it is *6 in its lowest radical form.

6 divided by the cube root: Exponential root of 6: In Radical Form, 6 is the square root of:
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1.What is the Cube Root of 6?
2.How to Calculate the Cube Root of 6?
3.Is the Cube Root of 6 Irrational?
4.FAQs on Cube Root of 6

What is the Cube Root of 6?


6 is the cube root of the number 3 added to itself three times, giving the product 6.Since 6 is equal to 2 * 3 , this makes sense.Thus, the cube root of 6 equals ∛(2 × 3) = 1.8171.

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How to Calculate the Value of the Cube Root of 6?


Cube Root of 6 by Halley"s Method

Essentially, the formula is a * x ((x3 + 2a)/(2x3 + a)) where a = number whose cube root is being calculated, and x = integer guess for its cube root.


Is the Cube Root of 6 Irrational?


Yes, because ∛6 = ∛(2 × 3) and it cannot be expressed in terms of p/q where q 0.Therefore, the cube root of 6 has an irrational value.

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Cube Root of 6 Solved Examples


Using the example above, what is the value of ∛6 + ∛(-6)?

The solution:

6 is equal to the cube root of -6.Thus, *(6) + *(-6) = *6 - *(6) = 0



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FAQs on Cube Root of 6

What is the Value of the Cube Root of 6?

6 can be expressed as 2 * 3, so 6 = ∛(2 × 3) = 1.81712.In other words, the cube root of 6 is 1.81712.

Is 6 a Perfect Cube?

Two times three on prime factorization equals 6.This is not a prime factor.The cube root of 6 is therefore irrational, so 6 is not a perfect cube.

If the Cube Root of 6 is 1.82, Find the Value of ∛0.006.

For example, *0.006 in p/q form means ∛(6/1000) = 1.82/10 = 0.18.So, *0.006 equals 0.18.

How to Simplify the Cube Root of 6/125?

Six has the cube root of 1.81712 and 125 has the cube root of 5.For this reason, *(6/125) = 1.817/5 = 0.3634.

What is the Cube Root of -6?

-6 is equal to the negative of 6.In this case, ∛-6 = -(∛6) = -(1.817) = -1.817.

What is the Cube of the Cube Root of 6?

It is no accident that the cube root of 6 is the number 6 itself, since (∛6)3 = (61/3)3 = 6.