Explain why any of the four operations (+-x / )placed between the two terms 5 and-3/(radical sign) 8 will result in an irrational number. ! it’s due today

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.

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