Question

Examine whether the following numbers are rational or irrational:

1) 3√8÷√2
2) 22÷7÷5π
3) (3+√2)(2-√3)(3-√2)(2+√3)


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Answer 1

1. 3√8÷√2 is irrational because √2 is irrational
2. 22÷7÷5π is irrational because π is irrational
3. (3+√2)(2-√3)(3-√2)(2+√3) is rational because when we solve it the answer is rational.