Question

Can anyone help me to find the answer of this question?????​

Answer 1

Step-by-step explanation:

$\frac{5 - \sqrt{3} }{2 - \sqrt{3} }$

We rationalize the denominator

$\frac{5 - \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} }$

$= \frac{(5 - \sqrt{3}) \times (2 + \sqrt{3} )}{(2 - \sqrt{3} ) \times (2 + \sqrt{3}) }$

$= \frac{10 + 5 \sqrt{3} - 2 \sqrt{3} - 3}{4 - 3} \: \: \: \: using \: {a}^{2} - {b}^{2} = (a + b)(a - b)$

$\frac{7 + 3 \sqrt{3} }{1} = 7 + 3 \sqrt{3}$

After comparing with question

x = 7

y = 3

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Answer 2

Answer:

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