Solved Examples on Cube Root of 8
Example 1: Evaluate the value of ∛8 × ∛-8.
Solution
We know, ∛8 = 2.
Also, ∛-8 = -2
Hence, ∛8 × ∛-8 = 2 × -2 = -4
Example 2: Compute x based on the Equation x3 = 8.
Solution:
Given x3 = 8
⇒ x = ∛8 = 2.
Hence, x = 2
Example 3: Find the cube root of 15625.
Solution:
The factors of 15625 are = 5 x 5 x 5 x 5 x 5 x 5.
15625 = (5 x 5 x 5) x (5 x 5 x 5) = 5 x 5 = 25 So, the cube root of 15625 is 25.
∛15625 = 25
Cube Root of 8
Cube Root of 8 is 2. Cube root of a number is a value that, when multiplied by itself twice (or cubed), results in the original number. 8 can be expressed as 2 × 2 × 2, which indicates that when 2 is multiplied by itself twice gives the product as 8. Therefore, the cube root of 8 = ∛(2 × 2 × 2) = 2.
In this article, we will learn about cube root of 8, methods to calculate the value of cube root 8 and some solved examples based on cube root of 8.