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प्रश्न
Find the cube root of the following natural number 35937 .
उत्तर
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,
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संबंधित प्रश्न
Write the cubes of 5 natural numbers which are multiples of 3 and verify the followings:
'The cube of a natural number which is a multiple of 3 is a multiple of 27'
By which smallest number must the following number be divided so that the quotient is a perfect cube?
243000
Write the units digit of the cube of each of the following numbers:
31, 109, 388, 833, 4276, 5922, 77774, 44447, 125125125
By taking three different values of n verify the truth of the following statement:
If n is even , then n3 is also even.
Write true (T) or false (F) for the following statement:
392 is a perfect cube.
Write true (T) or false (F) for the following statement:
For an integer a, a3 is always greater than a2.
Write true (T) or false (F) for the following statement:
If a and b are integers such that a2 > b2, then a3 > b3.
Write true (T) or false (F) for the following statement:
If a2 ends in 9, then a3 ends in 7.
Find the cube-root of -0.512
Evaluate:
`root(3)(27) + root(3)(0.008) + root(3)(0.064)`
