smc-983-30-Surd Denominators

Functions, 2ADV F1 SM-Bank 52

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

`:. a= -1/2, \ b=3/5`

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

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

--- 4 WORK AREA LINES (style=lined) ---

Show Answers Only

`a = 1/2, \ b = – 1/3`

Show Worked Solution

`:.\ a = 1/2, \ b = – 1/3`

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

Show Answers Only

`sqrt 3/12`

Show Worked Solution

`1/(4sqrt 3) xx (4sqrt 3)/(4sqrt 3)`	`= (4sqrt 3)/(16xx3)`
	`= sqrt 3/12`

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

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

Show Answers Only

`:. a = 4/3, \ b = -1`

Show Worked Solution

`:. a = 4/3, \ b = -1`

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

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

Show Answers Only

`:. a =-3/2, \ b = 4/3`

Show Worked Solution

`:. a = -3/2, \ b = 4/3`