Find the cube root of 8000.

To find the cube root of 8000, we need to determine which number, when multiplied by itself three times, equals 8000.

Calculating the Cube Root

The cube root of a number can be expressed mathematically as:

• Cube Root Symbol: ∛8000
• Mathematical Equation: x³ = 8000

To solve for x, we can simplify 8000:

Breaking Down 8000

8000 can be factored as:

• 8000 = 8 × 1000
• 8 = 2³
• 1000 = 10³

Thus, we can rewrite 8000 as:

8000 = (2 × 10)³ = 20³

Finding the Cube Root

Now that we have expressed 8000 as 20³, we can easily find the cube root:

∛8000 = 20

Final Answer

The cube root of 8000 is 20.