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.