Which of the following is irrational?

Question

Question: Which of the following is irrational?

Options:

1.  √4/√9
2.  √12/√3
3.  √7
4.  √81

Answer 1

3.  √7

√7 is irrational number.

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Solution:

1.  √4/√9 => 2/3

2.  √12/√3 => (√4 x √3)/√3 = (2 x √3)/√3 = 2

3.  √7 => 2.6457513110646 (non-terminating and non-repeating). So, Irrational number.

4.  √81 => 9