Question

Prove that 1/root5 is an irrational number

Answer 1

Answer:

2.2360679774

Step-by-step explanation:

$1\sqrt{5}$ = 2.2360679774

This proves that $1\sqrt{5}$ is A irrational number

For a number to be qualified as a rational number, the number have to be a number that can be converted to fractions, then converted back to a number.

For example, 27.

27 is a rational number because 27 can be converted into fractions :

$\frac{27}{1}$

Which means 27 is a rational number.

For $\frac{1}{3}$ , it is not a rational number. Because when converted to decimal :

It would be 0.33

If you convert 0.33 back to $\frac{1}{3}$ , you will get $\frac{33}{100}$ instead of $\frac{1}{3}$ .

While the answer of $1\sqrt{5}$ is 2.2360679774

And 2.2360679774 cannot be converted into fractions. And therefore, $1\sqrt{5}$ is a irrational number.

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