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Question

Given `sqrt(2) `= 1.414.  The value of `sqrt(8) + 2sqrt(32) - 3sqrt(128) + 4sqrt(50)` is :


Options:
A .  8.426
B .  8.484
C .  8.526
D .  8.876
Answer: Option B

Given exp. = `sqrt(8) + 2sqrt(32) - 3sqrt(128) + 4sqrt(50)`

                  = `sqrt(4 xx 2) + 2sqrt(16 xx 2) - 3sqrt(64 xx 2) + 4sqrt(25 xx 2)`

                 = `2sqrt(2) + 8sqrt(2) - 24sqrt(2) + 20sqrt(2)`     = `6sqrt(2)`  =  6 x 1.414 = 8.484. 



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