Question

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

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

Hint:

Simplify square roots in fractions separately before adding.

Answer 1

The Correct Option is C

\[ \sqrt{\frac{64}{81}} + \sqrt{\frac{16}{9}} = \frac{\sqrt{64}}{\sqrt{81}} + \frac{\sqrt{16}}{\sqrt{9}}. \] \[ = \frac{8}{9} + \frac{4}{3}. \] Converting to a common denominator:
\[ = \frac{8}{9} + \frac{12}{9} = \frac{20}{9}. \] Since \( 20/9 \) is not an integer, the correct answer is an integer only if there's a mistake in options.