Question

\( \sqrt{\frac{64}{81}} + \sqrt{\frac{16}{9}} \) is

• A. Rational number
• B. Irrational number
• C. An integer
• D. Natural number

Hint:

The sum or difference of two rational numbers is always a rational number.

Answer 1

The Correct Option is A

Step 1: Simplify the square roots: \[ \sqrt{\frac{64}{81}} = \frac{8}{9}, \quad \sqrt{\frac{16}{9}} = \frac{4}{3} \] Step 2: Add the fractions: \[ \frac{8}{9} + \frac{4}{3} = \frac{8}{9} + \frac{12}{9} = \frac{20}{9} \] Since \( \frac{20}{9} \) is a rational number, the correct answer is a rational number.