Question

a,2√3-6/√8-2 - √216/3

b, a+√ab/b+√ab

c, 1+√x+√y+√xy/1+√y

d, x-√3x + 3/x√x+3√3 với x>0

Answer 1

a: \(=\dfrac{2\left(\sqrt{3}-2\right)}{2\left(\sqrt{2}-1\right)}-6\sqrt{2}\)

\(=\dfrac{-2+\sqrt{3}}{\sqrt{2}-1}-6\sqrt{2}\)

\(=\left(-2+\sqrt{3}\right)\left(\sqrt{2}+1\right)-6\sqrt{2}\)

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

\(=-8\sqrt{2}+\sqrt{6}+\sqrt{3}-2\)

b: \(=\dfrac{\sqrt{a}\left(\sqrt{a}+\sqrt{b}\right)}{\sqrt{b}\left(\sqrt{a}+\sqrt{b}\right)}=\dfrac{\sqrt{a}}{\sqrt{b}}\)

c:\(=\dfrac{\left(1+\sqrt{x}\right)\left(1+\sqrt{y}\right)}{1+\sqrt{y}}=1+\sqrt{x}\)

d: \(=\dfrac{\left(x-\sqrt{3x}+3\right)}{\left(\sqrt{x}+\sqrt{3}\right)\left(x-\sqrt{3x}+3\right)}=\dfrac{1}{\sqrt{x}+\sqrt{3}}\)