What is the next number of the following sequence sqrt2, sqrt45, sqrt200, sqrt539,....

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28 Feb 2013 Sequence

What is the next number of the following sequence
sqrt2, sqrt45, sqrt200, sqrt539,....

OPtion

1) Sqrt 1256
2) Sqrt 1136
3) Sqrt 1176
4) Sqrt 1134
5) Sqrt 1196
6) Sqrt 1364
7) Sqrt 1424
8) Sqrt 1481
9) Sqrt 1525
10) None of these

Solution

Sqrt 2 = 1*Sqrt 2
Sqrt 45 = Sqrt 9*5 = 3*sqrt 5
Sqrt 200 = Sqrt 25*8 = 5*Sqrt 8
Sqrt 539 = sqrt 49*11= 7*Sqrt 11
= 9*Sqrt 14 = sqrt 81*14 = Sqrt 1134
option is 4

Correct Option: 4 Best Solution (4)