Math, asked by rishabh5697, 3 months ago

please solve this attached question​

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Answered by tyrbylent
0

Answer:

5 - \frac{8}{3}√3

Step-by-step explanation:

tan 60° = √3

tan 45° = 1

tan 30° = \frac{\sqrt{3} }{3}

1). ( √3 - 1 ) ÷ ( √3 + 1 ) = \frac{4-2\sqrt{3} }{2} = 2 - √3

2). ( 1 - \frac{\sqrt{3} }{3} ) ÷ ( 1 + \frac{\sqrt{3} }{3} ) = \frac{3-\sqrt{3} }{3+\sqrt{3} } = \frac{12-2\sqrt{3} }{6} = 2 - \frac{\sqrt{3} }{3}

3). ( 2 - √3 )( 2 - \frac{\sqrt{3} }{3} ) = 4 - 2√3 - \frac{2}{3} √3 + 1 = 5 - \frac{8}{3}√3

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