Question

Answer correctly and Give reason how the answer came too.
I will mark as the brainliest answer, [Explaination should also be there] but please answer only if you know WITH explanation.​

Answer 1

Let's understand the concept of rational numbers in brief :-

• Rational numbers are those numbers which can be expressed in the p/q form.
• Rational numbers having terminating or non terminating but repeating decimal expansion.

Let's solve the given Question :-

1) √8 + 2√8

√2 * 2 * 2 + 2√2 * 2 * 2

2√2 + 4√2

= 8.48528137424

[ Here, The value that we get after adding the given numbers is non terminating and non repeating that is why it is irrational number ]

2) π

As we know that the value of

π = 3.1415926535897932384626433832795

[ Here, The value of π is non terminating and non repeating that is why it is also irrational number ]

3) 22/7

3.1428571428571428571428571428571...

[ Here, The value that we get after dividing is non terminating but repeating. Hence, it is a rational number ] ✔️

[ The 22/7 is a approx of π but not the exact value of π that is why π is considered irrational number whereas 22/7 is considered rational number ]

4) ( √3 + 2√3)² - 27√3

3 + 2*3 - 27√3

3 + 6 - 27√3

9 - 27√3

18√3

18 * 1.732

= 31 .176...

[ Here also it contains non terminating and non repeating decimal expansion so it is also irrational number ]

Hence, Option 3 is your answer mate