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.
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