Question

Do it fast !!!!!!!
27 ponits
BRAINLIEST

Answer 1

Solution :-

• (a) $\bf{\dfrac{2}{\sqrt{3} - 1}}$

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Rationalising the denominator

$\tt\dashrightarrow{\dfrac{2}{\sqrt{3} - 1} \times \dfrac{\sqrt{3} + 1}{\sqrt{3} + 1}}$

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$\tt\dashrightarrow{\dfrac{2( \sqrt{3} + 1)}{(\sqrt{3})^2 - (1)^2}}$

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$\tt\dashrightarrow{\dfrac{2 (\sqrt{3} + 1)}{3 - 1}}$

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$\tt\dashrightarrow{\dfrac{\cancel{2} (\sqrt{3} + 1)}{\cancel{2}}}$

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$\bf\dashrightarrow{\orange{\sqrt{3} + 1}}$

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• (b) $\bf{\dfrac{7}{\sqrt{12} - \sqrt{5}}}$

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Rationalising the denominator

$\tt\dashrightarrow{\dfrac{7}{\sqrt{12} - \sqrt{5}} \times \dfrac{\sqrt{12} + \sqrt{5}}{\sqrt{12} + \sqrt{5}}}$

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$\tt\dashrightarrow{\dfrac{7(\sqrt{12} + \sqrt{5})}{(\sqrt{12})^2 - (\sqrt{5})^2}}$

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$\tt\dashrightarrow{\dfrac{7(\sqrt{12} + \sqrt{5}}{12 - 5}}$

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$\tt\dashrightarrow{\dfrac{\cancel{7}(\sqrt{12} + \sqrt{5})}{\cancel{7}}}$

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$\bf\dashrightarrow{\orange{\sqrt{12} + \sqrt{5}}}$

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• (c) $\bf{\dfrac{1}{8 + 3 \sqrt{5}}}$

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Rationalising the denominator

$\tt\dashrightarrow{\dfrac{1}{8 + 3 \sqrt{5}} \times \dfrac{8 - 3 \sqrt{5}}{8 - 3 \sqrt{5}}}$

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$\tt\dashrightarrow{\dfrac{8 - 3 \sqrt{5}}{(8)^2 - (3 \sqrt{5})^2}}$

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$\tt\dashrightarrow{\dfrac{8 - 3 \sqrt{5}}{64 - 45}}$

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$\bf\dashrightarrow{\orange{\dfrac{8 - 3 \sqrt{5}}{19}}}$

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Answer 2

Step-by-step explanation:

yes first question and same answer with me so right from their good