If a be any composite number then `sqrta` is always:

Options

A. Rational
B. Irrational
C. Both a and B
D. None of these

Answer

To solve the question "If a be any composite number then √a is always:", we will analyze the square root of composite numbers and determine whether it is rational or irrational.

### Step-by-Step Solution:

1. **Understanding Composite Numbers**:
- A composite number is a positive integer that has at least one positive divisor other than one or itself. In simpler terms, it is a number that can be formed by multiplying two smaller natural numbers. Examples include 4, 6, 8, 9, 10, 12, etc.

2. **Calculating the Square Root of a Composite Number**:
- Let's take a few examples of composite numbers and calculate their square roots:
- For the composite number **4**:
\[ \sqrt{4} = 2 \]
Here, 2 is a rational number.
- For the composite number **6**:
\[ \sqrt{6} \approx 2.45 \]
This is an irrational number.
- For the composite number **8**:
\[ \sqrt{8} = 2\sqrt{2} \approx 2.83 \]
This is also an irrational number.
- For the composite number **9**:
\[ \sqrt{9} = 3 \]
Here, 3 is a rational number.
- For the composite number **10**:
\[ \sqrt{10} \approx 3.16 \]
This is an irrational number.

3. **Conclusion**:
- From the examples above, we can see that the square root of a composite number can be either a rational number (like √4 and √9) or an irrational number (like √6, √8, and √10).
- Therefore, we conclude that the square root of a composite number can be both rational and irrational.

### Final Answer:
The square root of a composite number (√a) can be either a rational number or an irrational number.