Advertisements
Advertisements
प्रश्न
\[\sqrt[3]{125 \times 27} = 3 \times . . .\]
Advertisements
उत्तर
5
\[\sqrt[3]{125 \times 27} = 3 \times 5 \]
∵ \[\sqrt[3]{125 \times 27} = \sqrt[3]{125} \times \sqrt[3]{27} = \sqrt[3]{5 \times 5 \times 5} \times \sqrt[3]{3 \times 3 \times 3}\]
\[ = 5 \times 3\]
\[= 3 \times 5\] ( Commutative law )
APPEARS IN
संबंधित प्रश्न
Find the cube root of the following number by the prime factorisation method.
64
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 .
\[\sqrt[3]{480} = \sqrt[3]{3} \times 2 \times \sqrt[3]{. . .}\]
\[\sqrt[3]{. . .} = \sqrt[3]{4} \times \sqrt[3]{5} \times \sqrt[3]{6}\]
What is the length of the side of a cube whose volume is 275 cm3. Make use of the table for the cube root.
With what least number must 8640 be divided so that the quotient is a perfect cube?
Find the cube root of 8000.
Using prime factorisation, find which of the following are perfect cubes.
128
Using prime factorisation, find which of the following are perfect cubes.
729
