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

Answer 1

Solution:

We need to fill digits in the expression from 1 to 9 without repeating them.

And also when solving the result should be close to 0 as much as possible.

Expression => $\sqrt{xxx} - \sqrt{xx} - \sqrt{x}$

Let's try to put some numbers:-

$\sqrt{121} - \sqrt{81} - \sqrt{4}\\11 - 9 - 2\\0$

This one makes us reach exact 0 but , 1 is used twice.

$\sqrt{121} - \sqrt{64} - \sqrt{9}\\11 - 8 - 3\\0$

This one also makes us reach exact 0 but , 1 is used twice.

$\sqrt{127} - \sqrt{86} - \sqrt{4} = -0.00419082591\\\sqrt{145} - \sqrt{92} - \sqrt{6} = 0.00044178938$

These two are those which are quite near to 0 and also no digit is getting repeated.

And also, this question is like you need to keep trying by putting digits and these questions needs to be solved by that only.