PLEASE HELP!
What is the sum and classification of 2/5+square root of 88?

A. 9.78083151..., irrational
B. 9.78083151..., rational
C. 13.38083151..., irrational
D. 13.38083151..., rational

Respuesta :

The square root of 88 is irrational. Adding a rational number (2/5) to it results in an irrational.

A is the correct choice.

Answer:

A. 9.78083151..., irrational.

Step-by-step explanation:

We are asked to find the sum and classification of [tex]\frac{2}{5}+\sqrt{88}[/tex].

Since 88 is not a perfect square, so we will find the value of square root of 88 using a calculator.

[tex]\frac{2}{5}+9.3808315196468591[/tex]

Upon adding both numbers we will get,

[tex]9.7808315196468591[/tex]

Since 2/5 is a rational number and [tex]\sqrt{88}[/tex] is an irrational number as its decimal values are not terminating, therefore, the sum of both numbers will result in an irrational number.