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How many zeros will be there in the cube root of 800?
- a)3
- b)0
- c)1
- d)cube root does not exist
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
How many zeros will be there in the cube root of 800?a)3b)0c)1 d)cube ...
Since in cubes the zeros become triple ,for instance 10*10*10=1000, a number with two zeros does not have a cube root.
Most Upvoted Answer
How many zeros will be there in the cube root of 800?a)3b)0c)1 d)cube ...
Cube root will exist but it will be irrational and there will be no zero.
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How many zeros will be there in the cube root of 800?a)3b)0c)1 d)cube ...
Answer:
To find the number of zeros in the cube root of 800, we need to determine the prime factors of 800 and see if there are any groups of 3.
Prime Factorization of 800:
800 can be written as 2^5 * 5^2
Explanation:
Step 1: Prime Factorization of 800
800 can be expressed as the product of its prime factors as shown below:
800 = 2 * 2 * 2 * 2 * 2 * 5 * 5
Expressing it in exponential form:
800 = 2^5 * 5^2
Step 2: Finding the Cube Root
To find the cube root of 800, we need to find a number that, when multiplied by itself 3 times, gives us 800.
Let's consider the prime factors:
2^5 * 5^2
To form groups of 3, we need to take one factor from each group of 2 and take one factor from the group of 5. However, there is no group of 3 available.
Therefore, the cube root of 800 does not exist as an integer.
Step 3: Counting the Number of Zeros
Since the cube root of 800 does not exist, there are no zeros in the cube root of 800.
Hence, the correct answer is option D) Cube root does not exist.
To find the number of zeros in the cube root of 800, we need to determine the prime factors of 800 and see if there are any groups of 3.
Prime Factorization of 800:
800 can be written as 2^5 * 5^2
Explanation:
Step 1: Prime Factorization of 800
800 can be expressed as the product of its prime factors as shown below:
800 = 2 * 2 * 2 * 2 * 2 * 5 * 5
Expressing it in exponential form:
800 = 2^5 * 5^2
Step 2: Finding the Cube Root
To find the cube root of 800, we need to find a number that, when multiplied by itself 3 times, gives us 800.
Let's consider the prime factors:
2^5 * 5^2
To form groups of 3, we need to take one factor from each group of 2 and take one factor from the group of 5. However, there is no group of 3 available.
Therefore, the cube root of 800 does not exist as an integer.
Step 3: Counting the Number of Zeros
Since the cube root of 800 does not exist, there are no zeros in the cube root of 800.
Hence, the correct answer is option D) Cube root does not exist.
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How many zeros will be there in the cube root of 800?a)3b)0c)1 d)cube root does not existCorrect answer is option 'D'. Can you explain this answer?
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