Create a problem where the sum of the two numbers is an irrational number. Make it a very simple equation and add a two somewhere

3 answers

Sure! Here's a simple equation involving an irrational sum:

Let \( x = \sqrt{2} \) and \( y = 2 \).

Now, consider the sum:

\[ S = x + y = \sqrt{2} + 2 \]

The result \( S \) is an irrational number because the sum of a rational number (2) and an irrational number (\(\sqrt{2}\)) is always irrational.

So, the problem is:

What is the value of \( S \) if \( S = \sqrt{2} + 2 \)?

do that exact thing but don't put any of these signs: /,\,[,],{,},(,)

Sure! Here’s the problem without any of those signs:

Let x be the square root of 2 and let y be 2.

Now consider the sum

S equals x plus y

The result S is an irrational number because the sum of a rational number 2 and an irrational number square root of 2 is always irrational.

So the problem is

What is the value of S if S equals square root of 2 plus 2?