Question

Pls answer fast I have exam​

Answer 1

Solution :-

$\frac{2 + \sqrt{3} }{2 - \sqrt{3} } = a + b \sqrt{3}$

Take LHS

Now rationalize the denominator

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

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

Now Apply (a+b)² formula

Hence,

$4 + 3 + 4 \sqrt{ 3 } = 7 + 4 \sqrt{3}$

Now compare this value with RHS

$7 + 4 \sqrt{ 3 } = a + b \sqrt{3}$

Hence,

The value of a & b = 7 & 4 Answer

Answer 2

Step-by-step explanation:

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Republic Day is a national holiday in India. It honours the date on which the Constitution of India came into effect on 26 January 1950 replacing the Government of India Act (1935) as the governing document of India and thus, turning the nation into a newly formed republic.