## Problem

Welcome back to the site POEMATICS!

The September Problem is a warming up. It is so easy, that even I can solve it.

Go ahead!

Serge Hazanov

___________________________________________________What number is greater

sqrt(109) - sqrt(106) or sqrt (104) - sqrt (101) ?

No calculator!

## Answer Submission Is Not Available

Form is valid through September 2017

## Solution

Dear visitors and friends of the site.

Thank you for your solutions. The first to send the correct one was Jason.

We congratulate him with this! Well done.

Here is the correct solution:

Using multiplication by the conjugate radical, the numbers can be rewritten as 3/(sqrt(109)+sqrt(106) and 3/(sqrt(104)+sqrt(101).

The second denominator is smaller, so the second number is greater.

Thank you and try the October 2017 Problem!

Serge Hazanov

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