All Exams > Class 8 > Mathematics Class 8- New NCERT (Ganita Prakash) Part 1 & 2 > All Questions
All questions of A Square and A Cube for Class 8 Exam
How many zeros will be there in the cube root of 27000?
- a)3
- b)0
- c)1
- d)2
Correct answer is option 'C'. Can you explain this answer??
How many zeros will be there in the cube root of 27000?
a)
3
b)
0
c)
1
d)
2
 | Nishtha Patel answered |
Understanding the Problem
To determine how many zeros are in the cube root of 27000, we first need to calculate the cube root.
Finding the Cube Root of 27000
- The cube root of a number x is a value y such that y^3 = x.
- So, we need to find y such that y^3 = 27000.
Calculating the Cube Root
- We can express 27000 as a power of its prime factors.
- The prime factorization of 27000 is:
- 27000 = 27 x 1000
- 27 = 3^3 and 1000 = 10^3 = (2 x 5)^3
- Therefore, 27000 = 3^3 x (2 x 5)^3 = (3 x 2 x 5)^3 = (30)^3.
- Thus, the cube root of 27000 is:
- Cube root of 27000 = 30.
Counting the Zeros in 30
- The number 30 has one zero when considering the digit representation.
- As per the options provided, the correct answer is option 'C', which indicates there is 1 zero in the cube root of 27000.
Conclusion
- The cube root of 27000 is 30.
- Therefore, the number of zeros in 30 is 1.
This detailed breakdown helps clarify the process and confirms that option 'C' is indeed correct.
To determine how many zeros are in the cube root of 27000, we first need to calculate the cube root.
Finding the Cube Root of 27000
- The cube root of a number x is a value y such that y^3 = x.
- So, we need to find y such that y^3 = 27000.
Calculating the Cube Root
- We can express 27000 as a power of its prime factors.
- The prime factorization of 27000 is:
- 27000 = 27 x 1000
- 27 = 3^3 and 1000 = 10^3 = (2 x 5)^3
- Therefore, 27000 = 3^3 x (2 x 5)^3 = (3 x 2 x 5)^3 = (30)^3.
- Thus, the cube root of 27000 is:
- Cube root of 27000 = 30.
Counting the Zeros in 30
- The number 30 has one zero when considering the digit representation.
- As per the options provided, the correct answer is option 'C', which indicates there is 1 zero in the cube root of 27000.
Conclusion
- The cube root of 27000 is 30.
- Therefore, the number of zeros in 30 is 1.
This detailed breakdown helps clarify the process and confirms that option 'C' is indeed correct.
Chapter doubts & questions for A Square and A Cube - Mathematics Class 8- New NCERT (Ganita Prakash) Part 1 & 2 2026 is part of Class 8 exam preparation. The chapters have been prepared according to the Class 8 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 8 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
Chapter doubts & questions of A Square and A Cube - Mathematics Class 8- New NCERT (Ganita Prakash) Part 1 & 2 in English & Hindi are available as part of Class 8 exam. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Mathematics Class 8- New NCERT (Ganita Prakash) Part 1 & 251 videos|247 docs|18 tests |
