In this question you have to multiply and simplify to get answer
[tex](5-\sqrt{2} )(-3+\sqrt{5})[/tex]
Using identity (a + b)(c + d) = ac + ad + bc + bd we can multiply both polynomials
[tex]= (5)(-3) + (5)(\sqrt{5}) + (-\sqrt{2})(-3) + (-\sqrt{2})(\sqrt{5})[/tex]
[tex]= -15 + 5\sqrt{5}+ 3\sqrt{2}-\sqrt{2*5}[/tex]
[tex]= -15 + 5\sqrt{5}+ 3\sqrt{2}-\sqrt{10}[/tex]
Therefore the answer [tex]= -15 + 5\sqrt{5}+ 3\sqrt{2}-\sqrt{10}[/tex]
Happy to help :)
If you need anymore help, pls ask
