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Answer:
x =
Step-by-step explanation:
Use Pythagorean theorem,
Hypotenuse² = base² + altitude²
x² = (√8)² + 4²
= 8 + 16
= 20
x = √20 =
x =
If n is rational, it means that
Therefore when we do n² we can write it as
Remember that the product of two integer numbers is also an integer, therefore we can guarantee that
Then we can confirm that n² is the quotient of two integers and the denominator is not zero, therefore, n² is always rational, it cannot be an irrational number