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)

Respuesta :

the correct answer is first one that is 1

Answer:

The correct option is 1

Step-by-step explanation:

Given the number [tex]\frac{3}{20} + \sqrt10[/tex]. we have to identify the number is rational or irrational

As we know [tex]\sqrt10[/tex] is irrational

i.e [tex]\sqrt10=3.16227766017..[/tex]

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

∴ [tex]\frac{3}{20}+\sqrt10[/tex] is irrational which gives the sum 3.31227766....

hence, the correct option is 1)