Question

Rationalise

`{ (1 + √(3) )/( √(12) ) }`
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Answer 1

`(2√(3) + 6)/(12)`

Explanation:

Simplify the denominator of
`(1 + √(3) )/(√(12) )` completely.

`=> (1 + √(3) )/( √((4 * 3)) ) = (1 + √(3) )/(√(4) * √(3) ) = (1 + √(3) )/(2√(3) )`

Now, to rationalise it you need to make the denominator rational.

• Multiply & divide
  `(1 + √(3) )/(2√(3) )` by
  `2√(3)`.

`=> (1 + √(3) )/(2√(3) ) * (2√(3) )/(2√(3) )`

`=> ((1 + √(3))* 2√(3) )/(2√(3) * 2√(3) )`

`=> (2√(3) + 6 )/(12)`

Answer 2

Explanation: