Find `a`  and  `b`  such that  `a,b`  are real numbers and
 

`(6sqrt3-sqrt5)/(2sqrt5)= a + b sqrt15`.  (2 marks)

Find `a`  and  `b`  such that  `a,b`  are real numbers and 
 

`(sqrt3-2)/(2sqrt3)= a + b sqrt3`.  (2 marks)

Rationalise the denominator of  `1/(4sqrt 3)`.  (2 marks)

Find `a` and `b` such that  `a,b`  are real numbers and

`(sqrt32-6)/(3sqrt2) = a + bsqrt2`  (2 marks)

Find `a` and `b` such that  `a, b`  are real numbers and

`(8-sqrt27)/(2sqrt3) = a + bsqrt3`.   (2 marks)