Advertisements
Advertisements
Question
Find which of the following number is cube of rational number \[\frac{27}{64}\] .
Sum
Advertisements
Solution
We have:
\[\frac{27}{64} = \frac{3 \times 3 \times 3}{8 \times 8 \times 8} = \frac{3^3}{8^3} = \left( \frac{3}{8} \right)^3\]
Therefore,
\[\frac{27}{64}\] is a cube of \[\frac{3}{8}\] .
shaalaa.com
Is there an error in this question or solution?
RELATED QUESTIONS
Find the cube of −11 .
Find the cube of 2.1 .
Evaluate of the following
\[\sqrt[3]{0 . 1 \times 0 . 1 \times 0 . 1 \times 13 \times 13 \times 13}\]
Complete the following table.
| Sr. No. | Number | Power of the root | Root of the power |
| (1) | `(225)^(3/2)` | Cube of square root of 225 | Square root of cube of 225 |
| (2) | `(45)^(4/5)` | ||
| (3) | `(81)^(6/7)` | ||
| (4) | `(100)^(4/10)` | ||
| (5) | `(21)^(3/7)` |
Find the cube root of the following number.
8000
Find the cube root of the following number.
−512
Find the cube root of the following number.
32768
Find the cube of: 2.5
The one’s digit of the cube of 23 is ______.
Square of a number is positive, so the cube of that number will also be positive.
