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The cube root of 0.000729 is

  • a)
    0.09

  • b)
    0.9

  • c)
    0.21

  • d)
    0.11

Correct answer is option 'A'. Can you explain this answer?
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The cube root of 0.000729 isa)0.09b)0.9c)0.21d)0.11Correct answer is o...


 
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The cube root of 0.000729 isa)0.09b)0.9c)0.21d)0.11Correct answer is o...
Finding the Cube Root of 0.000729

Explanation:

To find the cube root of a number, we need to find a number that when multiplied by itself three times gives the original number.

So, to find the cube root of 0.000729, we need to find a number that when multiplied by itself three times gives 0.000729.

Method:

We can use the prime factorization method to simplify the cube root of 0.000729.

0.000729 can be written as 729/1000000.

Now, we can factorize 729 and 1000000 to simplify the cube root.

729 = 3 × 3 × 3 × 3 × 3 × 3
1000000 = 10 × 10 × 10 × 10 × 10 × 10

We can take out one 3 and one 10 from the above factors and simplify the expression.

0.000729 = (3/10) × (3/10) × (3/10) × (3/10) × (3/10) × (3/10)

Now, we can take the cube root of each term.

Cube root of (3/10) × (3/10) × (3/10) × (3/10) × (3/10) × (3/10) = (3/10)

Therefore, the cube root of 0.000729 is 0.09.

Answer:

Hence, the correct answer is option 'A', i.e., 0.09.
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The cube root of 0.000729 isa)0.09b)0.9c)0.21d)0.11Correct answer is o...
0.09×0.09×0.09=0.000729
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