Advertisements
Advertisements
प्रश्न
Making use of the cube root table, find the cube root
8.6 .
Advertisements
उत्तर
The number 8.6 can be written as \[\frac{86}{10}\]
Now
\[\sqrt[3]{8 . 6} = \sqrt[3]{\frac{86}{10}} = \frac{\sqrt[3]{86}}{\sqrt[3]{10}}\]
By cube root table, we have:
\[\sqrt[3]{86} = 4 . 414 \text{ and } \sqrt[3]{10} = 2 . 154\]
∴ \[\sqrt[3]{8 . 6} = \frac{\sqrt[3]{86}}{\sqrt[3]{10}} = \frac{4 . 414}{2 . 154} = 2 . 049\]
Thus, the required cube root is 2.049.
संबंधित प्रश्न
Find the cube root of the following numbers by the prime factorisation method.
27000
You are told that 1331 is a perfect cube. Can you guess without factorization what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768
\[\sqrt[3]{} . . . = \sqrt[3]{7} \times \sqrt[3]{8}\]
\[\sqrt[3]{. . .} = \sqrt[3]{4} \times \sqrt[3]{5} \times \sqrt[3]{6}\]
\[\sqrt[3]{\frac{27}{125}} = \frac{. . .}{5}\]
Find the side of a cube whose volume is\[\frac{24389}{216} m^3 .\]
Find The cube root of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that 57066625 = 166375 × 343 .
What is the length of the side of a cube whose volume is 275 cm3. Make use of the table for the cube root.
Find the cube root of 13824 by prime factorisation method.
Using prime factorisation, find the cube roots of 512
