Question

Circle the irrational numbers on this list

Answer 1

Explanation:

1 is irrational, because
`√(27)` is equal to 5,... and this is rational

2 is not irrational. It is rational, because
`\sqrt[3]{-27}` is equal to -3.

3 is irrational beause pi is equal to 3,14....... and it is not rational

4 is not irrational, because 3,156666..... is equal to 3,15(6) and you can write this as
`3(141)/(900)` and it is rational

5 is irrational because in 13.2463... we can't know what will the next digit be.

Answer 2

`√(27) \: and \: \pi`

Explanation:

let's do them one by one.

sqrt(27)=3sqrt(3) which is irrational. this is because sqrt(3) is irrational, and let's assume sqrt(27) is rational, thus since the product of two rationals is rational, then the product of sqrt(27) and 1/3 is rational but it's not. since 1/3 is rational, sqrt(27) is irrational.

cube root (-27) is -3. rational

pi is a very well known irrational constant.

22 is an integer, rational.

the last two seem to be repeating decimals, both rational.