Question

rationalise 2+√3/2-√3​

Answer 1

Answer:

your answer in the picture

Answer 2

Step-by-step explanation:

$\frac{2 + \sqrt{3} }{2 - \sqrt{3} }$

on rationalise

$\frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} }$

$\frac{(2 + \sqrt{3})^{2} }{(2) ^{2 } - ( \sqrt{3} )^{2} }$

identity used:

${a}^{2} - {b}^{2} = (a + b)(a - b)$

$(a + b) ^{2} = {a}^{2} + {b}^{2} + 2ab$

$\frac{ {2}^{2} + ({ \sqrt{3}) }^{2} + 2 \times 2 \times \sqrt{3} }{4 - 3}$

$\frac{4 + 3 + 4 \sqrt{3} }{1}$

$7 + 4 \sqrt{3}$

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