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 4 of 7.
Raimat said:
1 decade ago
@Mohd Aquib, thanks for the straight explanation.
Simmu said:
1 decade ago
@Sangita.
Remember that very simple 1^3=1, 2^3=8, 3^3=7, 4^3=4, 5^3=5, 6^3=6, 7^3=3, 8^3=2, 9^3=9.
So 216 unit digit is 6 so guess 6^3=216.
Remember that very simple 1^3=1, 2^3=8, 3^3=7, 4^3=4, 5^3=5, 6^3=6, 7^3=3, 8^3=2, 9^3=9.
So 216 unit digit is 6 so guess 6^3=216.
Sangita said:
1 decade ago
But how guess the 216 is obtain by 6*6*6....?
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.
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.
Swati said:
1 decade ago
Can you elaborate method to find multiple of 216?
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.
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.
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.
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.
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