Advertisements
Advertisements
Question
Find the cube root of the following number.
−512
Sum
Solution
To find the cube root of −512, let us factorise 512 first.
512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
512 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2)
= (8 × 8 × 8) = 83
-512 = (-8) × (-8) × (-8) = (-8)3
∴ `root(3)(-512) = -8`
shaalaa.com
Is there an error in this question or solution?
RELATED QUESTIONS
If square of a number ends with 5, then its cube ends with 25.
Find the cube of \[- \frac{8}{11}\] .
Find the cube root of the following rational number 0.001728 .
Find the cube root of the following rational number 1.331 .
Find the cube of:23
Find the cube of: 42
Find the cube of: 54
Find the cube of: `2 1/2`
Find the cube of: −18
Evaluate:
`{(6^2 + (8^2)^(1/2))}^3`
