Question

Determine
the area of
the square.

Answer 1

The area of the square is 2( 2 - √3 )

If we want to find the area of the square, the only thing we have to do is multiply the length by itself. In our case this length is √3 - 1, thus, its area is

( √3 - 1 )*( √3 - 1 ) = ( √3 - 1 )²

Now, to simplify this expression, we have to expand this polynomial in the next form

(√3 - 1)² = (√3)² - 2(√3)(1) + (1)² = 3 - 2√3 + 1 = 4 - 2√3 = 2( 2 - √3 )

So, the area of the square is 2( 2 - √3 )