Indices, SMB-026 Find `a` and `b` such that `a,b` are real numbers and `(6sqrt3-sqrt5)/(2sqrt5)= a + b sqrt15`. (2 marks) --- 4 WORK AREA LINES (style=lined) --- Show Answers Only `a= -1/2, \ b=3/5` Show Worked Solution `(6sqrt3-sqrt5)/(2sqrt5)` `=(6sqrt3-sqrt5)/(2sqrt5) xx (sqrt5)/(sqrt5)` `=(sqrt5(6sqrt3-sqrt5))/(2 xx5)` `=(6sqrt15-5)/10` `=-1/2 + 3/5 sqrt15` `:. a= -1/2, \ b=3/5`