Advertisements
Advertisements
Question
Find the cube root of the following natural number 35937 .
Advertisements
Solution
Cube root using units digit:
Let us consider 35937.
The unit digit is 7; therefore, the unit digit in the cube root of 35937 is 3.
After striking out the units, tens and hundreds digits of the given number, we are left with 35.
Now, 3 is the largest number whose cube is less than or equal to 35 ( \[3^3 < 35 < 4^3\] ) .
Therefore, the tens digit of the cube root of 35937 is 3.
Hence,
APPEARS IN
RELATED QUESTIONS
Find the smallest number by which the following number must be divided to obtain a perfect cube.
135
Find the cubes of the number 7 .
What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?
35721
By taking three different values of n verify the truth of the following statement:
If n leaves remainder 1 when divided by 3, then n3 also leaves 1 as remainder when divided by 3.
Find the cube root of the following natural number 4913 .
Show that:
\[\frac{\sqrt[3]{729}}{\sqrt[3]{1000}} = \sqrt[3]{\frac{729}{1000}}\]
Find the cube-root of -216
Find the cube-root of -216 x 1728
Find the cube-root of -64 x -125
If the cube of a squared number is 729, find the square root of that number
