Simplifying $\sqrt{\frac{98}{162}}$

A technician at a manufacturing facility is calculating a scaling factor for a machine part. The required factor is represented by the expression $\sqrt{\frac{75}{48}}$. To ensure the machine is calibrated correctly, what is the fully simplified form of this factor?

An engineering technician is tasked with calculating a load factor represented by the expression $\sqrt{\frac{75}{48}}$. To properly simplify this expression, the technician must first evaluate the square root of the numerator (75) and the square root of the denominator (48) separately, before attempting to reduce the fraction.

An industrial technician is calculating a scaling ratio for a machine component, represented by the expression $\sqrt{\frac{75}{48}}$. Arrange the following steps in the correct order to simplify this expression to its most reduced form.

A manufacturing technician is simplifying a material scaling ratio given by the expression $\sqrt{\frac{75}{48}}$ for a production report. Match each component of the simplification process with its corresponding numerical value.

Identifying Common Factors in Radical Simplification

A logistics planner for a shipping company is calculating the optimal packaging dimensions for a new product. A scaling ratio in the packing formula is given as $\sqrt{\frac{75}{48}}$. To simplify this expression efficiently, the planner first reduces the fraction inside the radical by identifying and dividing both the numerator and denominator by their greatest common factor. The common factor they must use is ____.