Answer:
5 + (-3/2√2) = irrational number
5 - (-3/2√2) = irrational number since we have √2
Step by step explanation
Here the given two numbers are 5 and -3/√8.
Here we can rewrite √8 = √2√4
Which is 2√2.
So √8 = 2√2, where √2 is an irrational number.
-3/√8 = -3 / 2√2 = =3/ 2√2 is an irrational number.
When you add, subtract, multiply and divide a whole number (5) with an irrational number (-3/2√2) is always an irrational number.
Therefore, when you do the operations with 5 and -2/2√2 always result in irrational number.
Hope you will understand the concept.
Thank you.