Question

3/2-√3 rationalise the denominator

Answer 1

Answer:

3 / ( 2 - √3 )

= 3 ( 2 + √3 ) / ( 2 + √3 ) ( 2 - √3 )

= 3 ( 2 + √3 ) / ( 4 - 3 )

= 3 ( 2 + √3 ) ( answer )

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Answer 2

Answer:

$\bf \: \frac{3}{2 - \sqrt{3} }$

$\bf \implies \: \frac{3}{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} }$

$\bf \implies \frac{3(2 + \sqrt{3} )}{4 - 3}$

$\bf \implies \frac{6 + 3 \sqrt{3} }{1}$

$\bf \implies6 + 3 \sqrt{3}$