The correct option is A 8(√(3)+1) Multiplying and dividing by 1+√( 3 ) : 16(1+√( 3 ) )(3 1)=8(1+√( 3 ) ) ...

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Rationalisation

Rationalize ...

Question

Rationalize $\frac{16}{\sqrt{3} - 1}$

8 (\sqrt{3} + 1)

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8 (\sqrt{3} - 1)

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\frac{8 (\sqrt{3} + 1)}{5}

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\frac{8 (\sqrt{3} + 1)}{16}

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Solution

The correct option is A $8 (\sqrt{3} + 1)$
$M u l t i p l y i n g a n d d i v i d i n g b y 1 + \sqrt{3} : 16 (1 + \sqrt{3}) (3 - 1) = 8 (1 + \sqrt{3})$

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\frac{1}{2} + \frac{2}{4} + \frac{3}{8} + \frac{4}{16} + \frac{5}{32} + \dots =

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