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8 grade maths

Find the cube root of 389017 by finding their units and digitsA. 63B. 67C. 73D. 77

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To find the cube root of 389017, we can solve it step by step.

Step 1: Focus on the units digit
The units digit of 389017 is 7. We need to find the cube root of numbers whose units digit is 7. The cube roots of the numbers ending in 7 are:

3³ = 27 (units digit is 7)
7³ = 343 (units digit is 7)
Thus, the cube root of 389017 must have a units digit of either 3 or 7.

Step 2: Approximate the cube root
Now, let’s estimate the value of the cube root by focusing on the number’s magnitude. The cube root of 389017 is approximately the cube root of 400000, which is around 73, since:

73³ = 389017
Step 3: Conclusion
Thus, the cube root of 389017 is 73.

The correct answer is C. 73.