What is Cube Root of 947

Answer: The Cube Root of 947 is 9.8201

  • Cube root of 947 is written as 9473\sqrt[3]{947} (Radical form).
  • 9473\sqrt[3]{947} = 9.8201×9.8201×9.82013\sqrt[3]{9.8201 \times 9.8201 \times 9.8201} = 9.8201
  • In the exponential form, the cube root of 947 is expressed as (947)13(947)^\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 = 947
• x = integer guess of its cube root.

Let's assume x as 9. Since 947 lies between 729 (cube of 9) and 1000 (cube of 10). So, we will consider the closest cube number here, i.e. 10.

Using the above formula & numbers, let's calculate the cube root of 947

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