Advertisements
Advertisements
Question
\[\sqrt[3]{\frac{512}{. . .}} = \frac{8}{13}\]
Advertisements
Solution
\[13 \times 13 \times 13 = 2197\]
∵ \[\sqrt[3]{\frac{512}{{13}^3}} = \frac{\sqrt[3]{8^3}}{\sqrt[3]{{13}^3}} = \frac{8}{13}\]
APPEARS IN
RELATED QUESTIONS
Find the cube root of the following number by the prime factorisation method.
512
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 130 .
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 1331 .
\[\sqrt[3]{125 \times 27} = 3 \times . . .\]
Find the smallest number by which 26244 may be divided so that the quotient is a perfect cube.
Find the cube root of 8000.
The cube root of 540 × 50 is ___________
The least number by which 72 be divided to make it a perfect cube is ______.
Using prime factorisation, find which of the following are perfect cubes.
343
Using prime factorisation, find which of the following are perfect cubes.
1331
