Question

$\sqrt{0.4}$ is a/an

• A. natural number
• B. integer
• C. rational number
• D. irrational number

Hint:

The square root of a non-perfect square rational number is always irrational.

Answer 1

The Correct Option is D

Problem: Determine the nature of \( \sqrt{0.4} \).

Solution:
Step 1: Convert 0.4 to a fraction.
\[0.4 = \frac{4}{10} = \frac{2}{5}\Rightarrow \sqrt{0.4} = \sqrt{\frac{2}{5}}\]

Step 2: Evaluate the result.
\(\sqrt{\frac{2}{5}}\) is a non-terminating, non-repeating decimal, and cannot be expressed as a ratio of integers.

Conclusion:
\(\sqrt{0.4}\) is an irrational number.

Answer:
Irrational number