Question

The area of a rectangle is (1 + √6). The length of one side is (√3+√2)m. Find without using a calculator, the length of the other side in the form √a + √b. where a and b are integers.​

Answer 1

`( (1 + √(6) )/( √(3) + √(2) ) ) (( √(3) - √(2) )/( √(3) - √(2) ) )`

`√(3) - √(2) + √(18) - √(12)`

`√(3) - √(2) + 3 √(2) - 2 √(3)`

`2 √(2) - √(3)`

`√(8) - √(3)`

So the length of this rectangle is (√8 - √3) meters, or (2√2 - √3) meters.

Answer 2

2.236067977

Explanation:

(√a+√b) = (√3+√2)

= (√5)

the length of the other side = 2.236067977