Question

a) x + y - \(2\sqrt{xy}\) - 9

b) 1 + \(\sqrt{13}+\sqrt{5}+\sqrt{65}\)

 

Answer 1

a: \(=\left(\sqrt{x}-\sqrt{y}\right)^2-9\)

\(=\left(\sqrt{x}-\sqrt{y}-3\right)\left(\sqrt{x}-\sqrt{y}+3\right)\)

b: \(=\left(1+\sqrt{13}\right)+\sqrt{5}\left(1+\sqrt{13}\right)\)

 

\(=\left(\sqrt{13}+1\right)\left(\sqrt{5}+1\right)\)

Answer 2

a, =(\(\sqrt{x}\)-\(\sqrt{y}\))\(^2\)-9

=(\(\sqrt{x}\)-\(\sqrt{y}\))\(^2\)-3\(^2\)

=(\(\sqrt{x}\)-\(\sqrt{y}\)-3) (\(\sqrt{x}\)-\(\sqrt{y}\)+3)

b, =(1+\(\sqrt{13}\))+\(\sqrt{5}\)(1+\(\sqrt{13}\))

=(1+\(\sqrt{13}\)) (\(\sqrt{5}\)+1)