Rationalize the denominator of the following.

1.	Rationalize the denominator of the following.
Answer» ANSWER : 7+ 4√3. Concepts REQUIRED : Rationalize the denominator, means MULTIPLY nominator and denominator by opposite sign. Solution : $\tt= \frac{2 + \sqrt{3} }{2 - \sqrt{3} }$ $\tt= \frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} }$ $\tt= \frac{({2 + \sqrt{3} )}^{2} }{{(2 )}^{2} - {(\sqrt{3} )}^{2} }$ $\tt= \frac{4 + 3 + 4 \sqrt{3} } {4 - 3}$ $\tt= \frac{7 + 4 \sqrt{3} } {1}$ $\tt= {7 + 4 \sqrt{3} }.$ $\rule{200}3$ Formula USE : (a + b)² = a² + b² + 2AB. (a + b )(a - b) = a² - b².

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