Question

Rationalize :- 3/2-√3​

Answer 1

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Explanation:

$= > \frac{3}{2 - \sqrt{3} }$

Rationalising means multiplying the numerator and denominator with opposite sign of denominator.

=>Here ,2-√3 is denominator so we mutiply both numerator and denominator with 2+√3 .

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

Here ,this identity is used:

$\bold{\pink{\boxed{(x + y)(x - y) = {x}^{2} - {y}^{2} }}}$

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

$\bold{= > \frac{3(2 + \sqrt{3} )}{4 - 3} = 3(2 + \sqrt{3} ){Ànswer}}$

Answer 2

Answer:

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