Question 1

Which of the following is an irrational number?

Question 2

Answer:

$\large\boxed{\mathtt{7.\bar{4}}}$

Explanation:

$\textsf{We are asked to identify the rational number out of given options.}$

$\textsf{First, let's review what a rational number is.}$

$\textsf{A Rational Number is a number that terminates.}$

$\textsf{A Rational Number is also any number that can be represented as a fraction.}$

$\textsf{Let's identify if our given options are Rational Numbers.}$

$\mathtt{√(60) = 7.74.... (Irrational)}$

$\mathtt{7.\bar{4} = 7 (4)/(9) \ (Rational) \ \checkmark}$

$\mathtt{√(29) = 5.38.... \ (Irrational)}$

$\mathtt{\pi = 3.14159.... \ (Irrational)}$

$√(60) , √(29) , \textsf{and} \ \pi \textsf{ are irrational due to the decimals never terminating.}$

$\textsf{Hence, our final answer is}$
$\mathtt{7.\bar{4}.}$

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