Aptitude - Square Root and Cube Root - Discussion

Discussion Forum : Square Root and Cube Root - General Questions (Q.No. 4)
4.

1.5625 = ?

1.05
1.25
1.45
1.55
Answer: Option
Explanation:
   1|1.5625( 1.25
    |1
    |-------
  22| 56
    | 44
    |-------
 245| 1225
    | 1225
    |-------
    |    X
    |-------     

1.5625 = 1.25.

Discussion:
62 comments Page 6 of 7.

Sandhya said:   1 decade ago
sqrt of 1. 5625 = sqrt of [15625/10000].

15625=125*125 ; 10000=100*100.

=125^2 ; =100^2.

sqrt of 15625=[125^2]^ (1/2) ; sqrt of 10000=[100^2]^ (1/2).

Powers get cancelled, therefore = 125/100.

= 1. 25.

Hari said:   1 decade ago
Hi friends, I can't to understand how to take square root from any number.
Could any one explain me please.

Dipankar said:   1 decade ago
Tricky:for Square root separate them in 2 parts from the right hand side i.e. 1089 like 10/ 89. 1st we hav find out root of last digit 9 is 3. 2nd we need 2 look4 the nearest square of 10 is 3. So your answer come 33.

More: 3249. 1st:32/49. 49's root is 7 & nearest square of 32 is 5 (25). So answer be 57.

Krishna teja said:   1 decade ago
@Dipankar.

Thank you very much dude :).

Kumari said:   1 decade ago
@Dipankar
Nice Trick dipankar.
Please keep sharing your knowledge..thanks!

Dinesh kumar said:   1 decade ago
5| 15625
----------
5| 3125
----------
5| 625
----------
5| 125
----------
5| 25
----------
5| 5
----------- So 5*5* 5*5* 5*5 get each one 5*5*5=125.
5

1.5625 after the point we have four(2*2)digit.
So put the point before two digit 1.25 is the answer.

Shali said:   1 decade ago
5 | 15625
----------
5 | 3125
----------
25| 625
----------
25| 25
----------
| 1

5*5*25*25 while taking square root 5*25 = 125 i.e 1.25 decimal after 2 digits.

Shruti said:   1 decade ago
@Dipankar.

In the case of 1089 you found out the root of last digit i.e. 9 but in case of 3249 you did calculate the root of last two digits i.e.49 instead of the last digit only i.e. 9. Isn't it contradicting each other?

Imran khan said:   1 decade ago
Let me know how can we understand 22 is to come or 245 in particular steps?

Lithin said:   1 decade ago
Can anyone please explain the factorization method?


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