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Q.

Find the cube root of the given number through estimation-5832


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a

17

b

19

c

16

d

18 

answer is D.

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Detailed Solution

Concept- Use the idea that since 5832's last digit is 2, we must flip it with an 8 before removing three numbers from the right that include the last digit. The number whose cube is closest to the remaining digits must now be identified. This number fits in the leftmost digit, and the addition of eight where two would normally be two fits in the rightmost digit.
The following table provides the estimated cube root of 5832.
First and foremost, we must memorize all the cube roots of the integers from 1 to 10. We also need to keep in mind that if the final digit of the number whose cube is to be found is 1,4,5,6,9,0, we should treat it as the same, and if it is 2,8,3 and 7, we should flip it. Question Image and Question Image. Determine the number whose cube is closest to the number whose cube has to be discovered by removing the last three digits from the number's left.
Question ImageThe last digit is 2, thus we must change it to 8 to get to 8.
Consequently, 8 is the unit position of the cube root of 5832.
Now that there are only five digits remaining in the number 5832, the table shows that the nearest cube root to five is one, as shown.
As a result, 5832's cube root's tenth place value is 1.
The solution is thus 18.
Question ImageHence, the correct answer is option 4.
 Syllabus: CBSE
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Find the cube root of the given number through estimation-5832