Question

Using the digits 1 to 9, at most one time each, fill in the boxes to make the following expression as close to 0 as possible.

$\sqrt{x}$

Answer 1

Given :  digits 1 to 9 to be filled in 6 spaces

To Find : find number to make given expression close to 0

Solution:

$\sqrt{x x x } - \sqrt{xx} - \sqrt{x}$

We need to fill Digits from 1 to 9  with out repeating  

as we know

$\sqrt{121} - \sqrt{81} - \sqrt{4} = 0$

but here 1 is repeated twice

now lets try

$\sqrt{127} - \sqrt{86} - \sqrt{4}$    =   -0.00419

$\sqrt{126} - \sqrt{85} - \sqrt{4}$    =   0.0054277

These two looks Quite close to 0 without repetition of any digit

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