What is Cube Root of 438

Answer: The Cube Root of 438 is 7.5944

  • Cube root of 438 is written as 4383\sqrt[3]{438} (Radical form).
  • 4383\sqrt[3]{438} = 7.5944×7.5944×7.59443\sqrt[3]{7.5944 \times 7.5944 \times 7.5944} = 7.5944
  • In the exponential form, the cube root of 438 is expressed as (438)13(438)^\frac{1}{3}.

Cube Root by Halley's Method

Halley's method is an iterative technique used to find cube roots. To find the cube root of a number using Halley's method, follow these steps:

Its formula is a3≈x((x3+2×a)(2×x3+a))\sqrt[3]{a} ≈ x \left( \frac{ \left( x^3 + 2 \times a \right) }{ \left( 2 \times x^3 + a \right) } \right) where,

• a = number whose cube root is being calculated = 438
• x = integer guess of its cube root.

Let's assume x as 7. Since 438 lies between 343 (cube of 7) and 512 (cube of 8). So, we will consider the closest cube number here, i.e. 8.

Using the above formula & numbers, let's calculate the cube root of 438

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