Advertisements
Advertisements
Question
\[\sqrt[3]{125 \times 27} = 3 \times . . .\]
Advertisements
Solution
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
RELATED QUESTIONS
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.
175616
Find the cube root of the following number by the prime factorisation method.
91125
\[\sqrt[3]{\frac{27}{125}} = \frac{. . .}{5}\]
\[\sqrt[3]{\frac{729}{1331}} = \frac{9}{. . .}\]
The volume of a cubical box is 474.552 cubic metres. Find the length of each side of the box.
Making use of the cube root table, find the cube root
37800 .
Find the cube root of 13824 by prime factorisation method.
Find the cube root of 1728.
The least number by which 72 be multiplied to make it a perfect cube is ______.
