Aptitude - Square Root and Cube Root - Discussion
Discussion Forum : Square Root and Cube Root - General Questions (Q.No. 1)
1.
The cube root of .000216 is:
Answer: Option
Explanation:
| (.000216)1/3 | = |  |
216 |  |
1/3 |
| 106 |
| = | |
6 x 6 x 6 | |
1/3 |
| 102 x 102 x 102 |
| = | 6 |
| 102 |
| = | 6 |
| 100 |
= 0.06
Discussion:
63 comments Page 3 of 7.
SRIDHAR said:
1 decade ago
How to get 1/3?
Chandini said:
1 decade ago
@Sridhar.
Actually square root means 1/2 and cube root means 1/3.
We should find the 1/3 of 0.000216.
To eliminate point and 0's we should need 10^6 so it is.
216/10^6 = ((6*6*6)/(10^2*10^2*10^2))1/3.
= ((6^3)/((10^2)^3)).
= 6/10^2 = 6/100.
= 0.06.
Actually square root means 1/2 and cube root means 1/3.
We should find the 1/3 of 0.000216.
To eliminate point and 0's we should need 10^6 so it is.
216/10^6 = ((6*6*6)/(10^2*10^2*10^2))1/3.
= ((6^3)/((10^2)^3)).
= 6/10^2 = 6/100.
= 0.06.
Nathaniel said:
1 decade ago
I don't understand how you got 6\10^2 please I need a better explanation from that point.
Shreya said:
1 decade ago
0.000216 just take the cube for 216.
216 is the cube root of 6.
After the decimal point we have three zeros.
i.e. 216/1000 so every two zero we should consider one zero its come like this 0.06.
216 is the cube root of 6.
After the decimal point we have three zeros.
i.e. 216/1000 so every two zero we should consider one zero its come like this 0.06.
Yogi said:
1 decade ago
0.000216 you underline to three digit.
right to left,
one is 216.
other is 000.
Answer is 0.06.
right to left,
one is 216.
other is 000.
Answer is 0.06.
Chandan said:
1 decade ago
Very sort method.
(216/10^6)^1/3 = (6^3/10^6)^1/3.
= 6^3*1/3/10^6*1/3.
= 6/10^2 = 6/100 = 0.06 Answer.
(216/10^6)^1/3 = (6^3/10^6)^1/3.
= 6^3*1/3/10^6*1/3.
= 6/10^2 = 6/100 = 0.06 Answer.
Ranjini said:
1 decade ago
@Yogi I can't understand please give a brief explanation for solve it. And one thing I don't know the formulas so please help me.
Swati said:
1 decade ago
Can you elaborate method to find multiple of 216?
Mohd aquib ansari said:
1 decade ago
Hey Ranjini, there is no formula to use in this problem.
See here carefully,
we write 2/10 = 0.2.
3/10 = 0.3.
4/10 = 0.4.
And so on..
2/100 = 0.02.
3/100 = 0.03.
4/100 = 0.04.
and so on...
So we can write,
216/1000000 = 0.000216.
And know that,
216/1000000=6*6*6/100*100*100.
So we can say that,
The cube root of 0.000216.
or 216/1000000 = 6/100 = 0.06.
See here carefully,
we write 2/10 = 0.2.
3/10 = 0.3.
4/10 = 0.4.
And so on..
2/100 = 0.02.
3/100 = 0.03.
4/100 = 0.04.
and so on...
So we can write,
216/1000000 = 0.000216.
And know that,
216/1000000=6*6*6/100*100*100.
So we can say that,
The cube root of 0.000216.
or 216/1000000 = 6/100 = 0.06.
Swathi said:
1 decade ago
0.06.
It is a simple num so easy to find. For large num how to find ? please tell me any simple way if any body know.
It is a simple num so easy to find. For large num how to find ? please tell me any simple way if any body know.
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