Question

simplifica la siguiente expresión ((√6-√3/)/)/(√6+√3)=(3+2√2

Answer 1

((√6 - √3))/(√6 + √3) = (3 + 2√2)
((√6 - √3)(√6 - √3))/(√6 + √3)² = (3 + 2√2)
(√6.√6 - √6.√3 - √3.√6 + √3.√3)/9 = (3 + 2√2)
6 - √18 - √18 + 3 = 27 + 18√2
9 - 2√18 = 18√2
9 - 2.√9.√2 = 18√2
9 - 2.3.√2 = 18√2
9 - 6√2 = 18√2
3(3 - 2√2) = 3(6√2)
3 - 2√2 = 6√2
3 = 8√2