The length of a rectangular field is 3√5 + 3√2. Find the measure of its breadth such that the area of the rectangle is a rational number.

Question

The length of a rectangular field is \(\sqrt[3]5 + \sqrt[3]2\) Find the measure of its breadth such that the area of the rectangle is a rational number.

Answer 1

Given that the length of a rectangular

field (l) = \(\sqrt[3]5 + \sqrt[3]2\)

If we want to get area of rectangle as a rational number, then we should take the breadth as Rationalising Factor of length.