Fill the blank

square root of 11 - square root of 10 ________ square root of 12 -square rootof 11

options

1 <

2 >

3 =

4 None of these

Dear  Amit,

Solution:- (√11 - √10) .......... (√12 - √11)

Rationalize both side (i.e., multiply & divide with (√11 + √10) and (√12 + √11) respectively). Then, you'll get-

[ 1/(√11 + √10) ] .............. [1/(√12 + √11)]

Since, √12 > √10 , [ 1/(√11 + √10) ] ........>...... [1/(√12 + √11)]

[ANS = 2 ]



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