Advertisements
Advertisements
Question
Show that 1944 is not a perfect cube
Advertisements
Solution
| 2 | 1944 |
| 2 | 972 |
| 2 | 486 |
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
1944 = 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3
= `bar(2 xx 2 xx 2) xx bar(3 xx 3 xx 3) xx 3 xx 3`
= 23 × 33 × 3 × 3
There are two triplets to make further triplets we need one more 3.
∴ 1944 is not a perfect cube.
APPEARS IN
RELATED QUESTIONS
Find the smallest number by which the following number must be multiplied to obtain a perfect cube.
72
By which smallest number must the following number be divided so that the quotient is a perfect cube?
7803
Show that:
\[\frac{\sqrt[3]{729}}{\sqrt[3]{1000}} = \sqrt[3]{\frac{729}{1000}}\]
Find the cube-root of `27/64`
Find the cube-root of -2744000
Find the cube-root of 9.261
Find the smallest number by which 200 should be multiplied to make it a perfect cube
Find the cube root 24 × 36 × 80 × 25
What is the square root of cube root of 46656?
There is no cube root of a negative integer.
