Question

What is the sum and classification of 3/20 + √10 (sqrt of 10)?

1) 3.31227766..., irrational
2) 3.31227766..., rational
3) 18.16227766..., irrational
4) 18.16227766..., rational

(not a multiple choice)

Answer 1

the correct answer is first one that is 1

Answer 2

The correct option is 1

Explanation:

Given the number
`(3)/(20) + \sqrt10`. we have to identify the number is rational or irrational

As we know
`\sqrt10` is irrational

i.e
`\sqrt10=3.16227766017..`

The above number is irrational as it is non repeating and non-termination number after decimal.

As the sum of a rational and an irrational must be irrational

∴
`(3)/(20)+\sqrt10` is irrational which gives the sum 3.31227766....

hence, the correct option is 1)