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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?
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How many zeros will be there in the cube root of 27000?a)3b)0c)1d)2Cor...
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How many zeros will be there in the cube root of 27000?a)3b)0c)1d)2Cor...
Finding the Cube Root of 27000
Given: 27000
We need to find the cube root of 27000 and determine how many zeros would be there in the answer.
Solution:
First, we need to factorize 27000 to find its cube root.
27000 can be written as: 27 x 1000
Now, we can take the cube root of each factor separately:
∛27 = 3
∛1000 = 10
Therefore, the cube root of 27000 is:
∛27000 = ∛(27 x 1000) = (∛27) x (∛1000) = 3 x 10 = 30
The answer is 30.
Now, we need to determine how many zeros will be there in the answer.
To do this, we need to count the number of factors of 10 in the answer.
The factors of 10 come from the factorization of 1000, which is 10 x 10 x 10.
Since we have only one factor of 10 in the answer (which comes from the factorization of 1000), the number of zeros in the cube root of 27000 is 1.
Therefore, the correct answer is option C, i.e., 1.
Given: 27000
We need to find the cube root of 27000 and determine how many zeros would be there in the answer.
Solution:
First, we need to factorize 27000 to find its cube root.
27000 can be written as: 27 x 1000
Now, we can take the cube root of each factor separately:
∛27 = 3
∛1000 = 10
Therefore, the cube root of 27000 is:
∛27000 = ∛(27 x 1000) = (∛27) x (∛1000) = 3 x 10 = 30
The answer is 30.
Now, we need to determine how many zeros will be there in the answer.
To do this, we need to count the number of factors of 10 in the answer.
The factors of 10 come from the factorization of 1000, which is 10 x 10 x 10.
Since we have only one factor of 10 in the answer (which comes from the factorization of 1000), the number of zeros in the cube root of 27000 is 1.
Therefore, the correct answer is option C, i.e., 1.
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Community Answer
How many zeros will be there in the cube root of 27000?a)3b)0c)1d)2Cor...
It's factorization will have 3 tens. In cube root we consider 1 out of 3 factors. So 1 ten is considered. I. E. 1 zero.
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