Question

The length of a rectangular field is 3 root 5 + 3 root 2 find the measure of its breadth such that the area of the rectangle is a rational number
Do it on paper and please write full Sum answer

Answer 1

The breadth of the rectangular field is (√5 - √2)

Step-by-step explanation:

Given that, the length of the rectangular field is (3√5 + 3√2).

Now, 3√5 + 3√2

= 3 (√5 + √2), in which 3 is an integer and (√5 + √2) is an irrational number.

We know that, if we multiply an irrational number by its conjugate, we get a rational value.

So we multiply (√5 + √2) by (√5 - √2) to get a rational value,

i.e., to multiply 3(√5 + √2) by (√5 - √2) to get a rational value,

i.e., to multiply (3√5 + 3√2) by (√5 - √2) to get a rational value

Thus the breadth of the rectangular field is (√5 - √2)

Some more examples:

1. Area = 1.76 cm^2 and breadth = 8 mm. Find the length of the rectangle.

- https://brainly.in/question/11056194

2. The perimeter of a rectangle is 24 units. If the length is twice the breadth, find the breadth of rectangle.

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