Question

(1-\(\sqrt{3}\))(2+\(\sqrt{3}\))

\(\sqrt{30-12\sqrt{6}}\)-\(\sqrt{50-8\sqrt{6}}\)

Answer 1

a: \(=2+\sqrt{3}-2\sqrt{3}-3=-1-\sqrt{3}\)

b: \(=3\sqrt{2}-2\sqrt{3}-4\sqrt{3}+\sqrt{2}=4\sqrt{2}-6\sqrt{3}\)

Answer 2

`a, = 2 - 2 sqrt 3 + sqrt 3 - 3`

`= -1 - sqrt 3`

`b, = (12 - 2 sqrt 12 . sqrt 18 + 18) - (48 - 2 . sqrt 48 . sqrt 2 + 2)`

`= (sqrt(sqrt 12 - sqrt 18))^2 - (sqrt(sqrt 48 - sqrt 2))^2`

`= sqrt 18 - sqrt 12 - sqrt 48 + sqrt 2`

`= -6 sqrt 3 + 4 sqrt 2`