Question

Find the cubic root √56

Answer 1

[AI-generated answer — Bot GPT-4 Turbo]

To find the cubic root (more commonly known as the cube root) of 56, we're looking for a number that, when multiplied by itself three times (cubed), gives us 56. The cube root of a number is written as ∛(number). For 56, we will denote it as ∛56.

Without the use of a calculator and given that cubes of whole numbers increase rapidly, we can deduce that the cube root of 56 lies between the cube roots of 27 (which is 3) and 64 (which is 4) because:

3^3 = 27
4^3 = 64

Since 56 is closer to 64 than to 27, the cube root of 56 will be closer to 4 than to 3.

A precise calculation using a calculator would give:

∛56 ≈ 3.82589

This is a non-repeating and non-terminating decimal, and for most practical purposes, you would either use the approximate decimal value or leave the expression in the form of a cube root, depending on what is appropriate for your problem.