4) \( \begin{array}{l}\text { त्रA) Simplify } \\ \sqrt{\frac{42}{75}} \\ \end{array} \) ?

To simplify \( \sqrt{\frac{42}{75}} \), follow these steps: 1. **Simplify the Fraction Inside the Square Root:** \[ \frac{42}{75} = \frac{6 \times 7}{3 \times 25} = \frac{2 \times 7}{25} = \frac{14}{25} \] Here, the common factor of 3 in the numerator and denominator cancels out. 2. **Take the Square Root of the Simplified Fraction:** \[ \sqrt{\frac{14}{25}} = \frac{\sqrt{14}}{\sqrt{25}} = \frac{\sqrt{14}}{5} \] Since \( \sqrt{25} = 5 \), the expression simplifies to \( \frac{\sqrt{14}}{5} \). **Final Answer:** \[ \frac{\sqrt{14}}{5} \]