Assertion : `sqrt(2), sqrt(3)` are examples of irrational numbers .
Reason : An irrational number can be expressed in the form p/q .

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion .
B. If both assertion and reason are true but reason is not the correct explanation of assertion .
C. If assertion is true but reason is false.
D. If assertion is false but reason is true .

Answer

To solve the question, we need to analyze both the assertion and the reason provided.

### Step 1: Analyze the Assertion
The assertion states that `sqrt(2)` and `sqrt(3)` are examples of irrational numbers.

- **Definition of Irrational Numbers**: An irrational number is a number that cannot be expressed as a fraction of two integers (i.e., it cannot be written in the form p/q where p and q are integers and q ≠ 0).
- **Values of `sqrt(2)` and `sqrt(3)`**:
- `sqrt(2) ≈ 1.41421...` (non-terminating and non-repeating)
- `sqrt(3) ≈ 1.73205...` (non-terminating and non-repeating)

Since both `sqrt(2)` and `sqrt(3)` are non-terminating and non-repeating decimals, they are indeed irrational numbers.

**Conclusion for Step 1**: The assertion is **True**.

### Step 2: Analyze the Reason
The reason states that an irrational number can be expressed in the form p/q.

- **Definition of Rational Numbers**: A rational number is defined as a number that can be expressed in the form p/q where p and q are integers and q ≠ 0.
- Since the reason describes the property of rational numbers, it is incorrect to say that irrational numbers can be expressed in this form.

**Conclusion for Step 2**: The reason is **False**.

### Final Conclusion
- The assertion is **True**.
- The reason is **False**.

Thus, the correct answer to the question is that the assertion is true, but the reason is false.

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