Question

What is the sum and classification of 3/20 + sqrt of 10

A. 3.31227766..., irrational
B. 3.31227766..., rational
C.18.16227766..., irrational
D.18.16227766..., rational

Answer 1

a

Explanation:

Answer 2

A. 3.31227766..., irrational

Explanation:

We have been given two numbers. We are asked to find sum of given numbers and classify the type of number after addition.

`(3)/(20)+√(10)`

`0.15+3.1622776601683793`

`3.3122776601683793`

We can see that
`(3)/(20)` is a rational number, while
`√(10)` is an irrational number as its digits are repeating infinitely after decimal.

We know that sum of a rational and irrational number is irrational, therefore the sum of given numbers is irrational and option A is the correct choice.