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 6 of 7.
Reshma said:
7 years ago
6*6*6 = 196 how can it be 216 here?
Randyranjith said:
7 years ago
Can't understand.
(1)
Abhinav said:
7 years ago
Thanks, I understand the solution clearly.
(1)
Priyanka said:
6 years ago
Thank you all for the given explanation.
(3)
Kirthana said:
6 years ago
@Reshma, the cube of 6 is 216. Not 196.
And, how is it 0.06? what should we do?
please, anyone, explain me.
And, how is it 0.06? what should we do?
please, anyone, explain me.
(2)
Ankush said:
6 years ago
Yes, it is 0.006.
(2)
Chhaya said:
6 years ago
I can't understand how come 6/10^2? please help me.
(2)
Yogi said:
6 years ago
I am not understanding it. Please, anyone explain it for me.
(3)
Naveen said:
6 years ago
How here come 10^2? please explain.
(3)
Bhavani said:
6 years ago
By hypothesis cube root of .000216=(0.000216)^1/3.
=[(216)/10^6]^1/3.
we know that 6^3=216
So( 6^3)^1/3=6
and ll'y (10^6)^1/3=(10)^2
So (216/10^6)^1/3=[(6^3/10^6)]^1/3
=6/10^2
=6/100.
So The cube root of 0.000216 =0.06.
=[(216)/10^6]^1/3.
we know that 6^3=216
So( 6^3)^1/3=6
and ll'y (10^6)^1/3=(10)^2
So (216/10^6)^1/3=[(6^3/10^6)]^1/3
=6/10^2
=6/100.
So The cube root of 0.000216 =0.06.
(5)
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