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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

Respuesta :

Answer:

a

Step-by-step explanation:


Answer:

A. 3.31227766..., irrational

Step-by-step explanation:

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

[tex]\frac{3}{20}+\sqrt{10}[/tex]

[tex]0.15+3.1622776601683793[/tex]

[tex]3.3122776601683793[/tex]

We can see that [tex]\frac{3}{20}[/tex] is a rational number, while [tex]\sqrt{10}[/tex] 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.