Question

The number of zeros in the cube root of 1000 is
(A) 1
(B) 2
(C) 3
(D) 4

Answer 1

Hint: This particular type of question we need to find the cube root of 1000 using factorization method which would be accurate for finding cube roots of small numbers. Then we need to count the number of zeros in the cube root to get the desired answer.

Complete step-by-step solution:
Cube root of 1000 =
 ${1000^{\dfrac{1}{3}}} = {\left( {10 \times 10 \times 10} \right)^{\dfrac{1}{3}}} = 10$
So, cube root of 1000=10

In 10, there is only one zero.
So option (A) is correct.

Note: Note that in this type of question the prime factorization method is an easy way to get the roots of a number. Cube roots of bigger numbers can also be found by using this method used in the given example,
Let us take a cube not like 226981.
To see which is the cube root of that number, first check the last 3 digits that are 981 . Its last digit is 1 therefore the last digit of the cube root of 226981 is 1 .Now for the remaining digits that is 226 .
Now 226 is the nearer & bigger number compared to the cube of 6 (216).
So the cube root of 226981 is 61.