Question

33. Create an expression that results in an irrational answer and explain how you planned the expression to be

Answer 1

What we need

A function which has atleast the below parameters

• Must be rational
• The answer must be irrational

The simplest function is

$\sf y=\dfrac{\sqrt{-x^2-1}}{2}$

How can we prove ?

• x²>0

So -x²-1<0

• The answer will come irrational