Find the cube root of the following rational numbers 12167
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Answer:
Step-by-step explanation:
the cube root is 23
23*23*23= 12167
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Cube root of 12167
We shall separate 12167 in to groups.
The groups are 12 and 167
167 ends with 7 and we know that if 7 is at the units place of any perfect cube number then its cube root will have 3 at its units place only. therefore, the digit at the units place of the required cube root is taken as 3.
Now considering the other group 12.
2³ = 8 and 3³ = 27
And also 8 < 12 < 27
2 is smaller than 3, therefore 2 will be taken as the digit at tens place of the required cube root.
Thus,
∛12167 = 23
Answer.
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