1.) Is this number rational or irrational? - ( √(3) )/(5) + 10.8 2.) Is this number rational or irrational? √(3) ​

Question

1.) Is this number rational or irrational?


`- ( √(3) )/(5) + 10.8`
2.) Is this number rational or irrational?

`√(3)`

​

Answer 1

1) Irrational.

2) Irrational.

Explanation:

We have been given two numbers. We are asked to determine whether the given numbers are rational or irrational.

We know that a number is a known as rational number, when we can represent it as a fraction or it has terminating decimals.

A number is a known as rational number, when it has non-repeating and non-terminating decimals.

1).
`-(√(3))/(5)+10.8`

`-0.3464101615137755+10.8=10.4535898384862245`

Since our given number has non-repeating or non-terminating decimal, therefore, given number is an irrational number.

2)
`√(3)=1.7320508075688773`

Since our given number has non-repeating or non-terminating decimal, therefore, given number is an irrational number.