What is the smallest number by which 864 must be multiplied to make it a perfect cube?
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The value of the cube root of 864 rounded to 6 decimal places is 9.524406. It is the real solution of the equation x3 = 864. The cube root of 864 is expressed as ∛864 or 6 ∛4 in the radical form and as (864)⅓ or (864)0.33 in the exponent form. The prime factorization of 864 is 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3, hence, the cube root of 864 in its lowest radical form is expressed as 6 ∛4. Nội dung chính Show
What is the Cube Root of 864?The cube root of 864 is the number which when multiplied by itself three times gives the product as 864. Since 864 can be expressed as 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3. Therefore, the cube root of 864 = ∛(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3) = 9.5244. ☛ Check: Cube Root Calculator How to Calculate the Value of the Cube Root of 864?Cube Root of 864 by Halley's MethodIts formula is ∛a ≈ x ((x3 + 2a)/(2x3 + a)) Here a = 864 Is the Cube Root of 864 Irrational?Yes, because ∛864 = ∛(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3) = 6 ∛4 and it cannot be expressed in the form of p/q where q ≠ 0. Therefore, the value of the cube root of 864 is an irrational number. ☛ Also Check:
Cube Root of 864 Solved Examples
go to slidego to slidego to slide Ready to see the world through math’s eyes? Math is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything. Book a Free Trial Class FAQs on Cube Root of 864What is the Value of the Cube Root of 864?We can express 864 as 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 i.e. ∛864 = ∛(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3) = 9.52441. Therefore, the value of the cube root of 864 is 9.52441. What is the Value of 13 Plus 15 Cube Root 864?The value of ∛864 is 9.524. So, 13 + 15 × ∛864 = 13 + 15 × 9.524 = 155.85999999999999. Hence, the value of 13 plus 15 cube root 864 is 155.85999999999999. If the Cube Root of 864 is 9.52, Find the Value of ∛0.864.Let us represent ∛0.864 in p/q form i.e. ∛(864/1000) = 9.52/10 = 0.95. Hence, the value of ∛0.864 = 0.95. Is 864 a Perfect Cube?The number 864 on prime factorization gives 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3. Here, the prime factor 2 is not in the power of 3. Therefore the cube root of 864 is irrational, hence 864 is not a perfect cube. What is the Cube Root of -864?The cube root of -864 is equal to the negative of the cube root of 864. Therefore, ∛-864 = -(∛864) = -(9.524) = -9.524. What is the Cube of the Cube Root of 864?The cube of the cube root of 864 is the number 864 itself i.e. (∛864)3 = (8641/3)3 = 864.
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What is the smallest number divided from 864 to make it a perfect cube *?Hence, 5 is the smallest number by which 8640 must be divided, so that the quotient is a perfect cube. Was this answer helpful?
What is the smallest number by which 864 must be multiplied with to make the question a perfect cube?Answer: Since 2 × 2 is the only in complete triplet, so 864 has to be multiplied by 2 to make it a perfect cube.
How do you find the smallest number to multiply to get a perfect cube?Hence, the smallest number by which 100 must be multiplied to obtain a perfect cube is 2×5=10.
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