Question

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

Answer 1

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 2

A. 9.78083151..., irrational.

Explanation:

We are asked to find the sum and classification of
`(2)/(5)+√(88)`.

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

`(2)/(5)+9.3808315196468591`

Upon adding both numbers we will get,

`9.7808315196468591`

Since 2/5 is a rational number and
`√(88)` is an irrational number as its decimal values are not terminating, therefore, the sum of both numbers will result in an irrational number.