Questions: Find the value of ∛64.

Transcript text: Find the value of $\sqrt[3]{64}$.

Solution

Solution Steps

To find the cube root of 64, we need to determine which number, when multiplied by itself three times, equals 64. This involves finding the integer that satisfies the equation $ x^3 = 64 $.

Step 1: Understanding the Problem

We need to find the cube root of 64, which means we are looking for a number $ x $ such that $ x^3 = 64 $.

Step 2: Solving the Equation

To solve for $ x $, we take the cube root of both sides of the equation: \[ x = \sqrt[3]{64} \]

Step 3: Calculating the Cube Root

The cube root of 64 is approximately 3.9999. Since we are looking for an integer solution, we round this to the nearest whole number.

Final Answer

$\boxed{4}$

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