Question

how to solve ᴛʜɪꜱ ᴍᴀᴛʜꜱ ᴩʀᴏʙʟᴇᴍ​

Answer 1

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To Find :-

• Value of 100/(√3+1)

Solution :-

$\to \: \sf{n = \frac{100}{ \sqrt{3} + 1} } \\ \\ \sf{rationalising \: the \: denominator : } \\ \to \sf{n = \frac{100}{ \sqrt{3} + 1 } \times \frac{ \sqrt{3} - 1 }{ \sqrt{3} - 1 } } \\ \\ \to \sf{n = \frac{ 100 (\sqrt{3} - 1) }{ {( \sqrt{3}) }^{2} - {1}^{2} } } \\ \\ \to \sf{n = \frac{100( \sqrt{3} - 1) }{2} } \\ \\ \star \: \boxed{\to \sf{n = 50 \sqrt{3} - 50}} \: \star$

@SweetestBitter