Advertisements
Advertisements
प्रश्न
Using prime factorisation, find which of the following are perfect cubes.
729
उत्तर
We have, 729 = 3 × 3 × 3 × 3 × 3 × 3
Since, the prime factors appear in triplets.
So, 729 is a perfect cube.
APPEARS IN
संबंधित प्रश्न
Find the cube root of the following number by the prime factorisation method.
46656
\[\sqrt[3]{480} = \sqrt[3]{3} \times 2 \times \sqrt[3]{. . .}\]
\[\sqrt[3]{} . . . = \sqrt[3]{7} \times \sqrt[3]{8}\]
Evaluate:
\[\sqrt[3]{121} \times \sqrt[3]{297}\]
Find The cube root of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that 3048625 = 3375 × 729 .
Making use of the cube root table, find the cube root
7342 .
Making use of the cube root table, find the cube root
37800 .
Making use of the cube root table, find the cube root
34.2 .
With what least number must 8640 be divided so that the quotient is a perfect cube?
Using prime factorisation, find which of the following are perfect cubes.
343