Step-by-step explanation:
Keep 2/22 the same, and put 5722 over 1.
Turning 5722 into a fraction will make multiplying much simpler.
Multiply:
[tex] \frac{5722}{1} \times \frac{2}{22} = \frac{11444}{22} [/tex]
Divide:
[tex] \frac{11444 \div 22}{22 \div 22} = 520.18 \: \:repeating[/tex]
Since the decimal is repeating, the product is irrational.