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Question
Rationalize the denominator.
`4/(7+ 4 sqrt3)`
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Solution
`4/(7+ 4 sqrt3)`
`= 4/(7+ 4 sqrt3) xx (7- 4 sqrt3)/(7 - 4 sqrt3) `
`= (4(7- 4 sqrt3))/((7)^2 - (4 sqrt 3)^2)` ....`[(a + b)(a - b) = a^2 - b^2]`
`= (4(7- 4 sqrt3)) /(49 - 48)`
`= 28 - 16 sqrt 3`
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