Question

if x = 7+4√3 then the value of 1\x is​

Answer 1

Answer:

7-4√3

Step-by-step explanation:

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Answer 2

Answer:

$given \: x = 7 + 4 \sqrt{3} \\ \\ so \\ \\ \frac{1}{x} \\ \\ = \frac{1}{7 + 4 \sqrt{3} } \\ \\ now \: rationalising \\ \\ \frac{1}{7 + 4 \sqrt{3} } \times \frac{7 - 4 \sqrt{3} }{7 - 4 \sqrt{3} } \\ \\ = \frac{7 - 4 \sqrt{3} }{ {(7)}^{2} - {(4 \sqrt{3}) }^{2} } \\ \\ = \frac{7 - 4 \sqrt{3} }{49 - 16 \times 3} \\ \\ = \frac{7 - 4 \sqrt{3} }{49 - 48 } \\ \\ = \frac{7 - 4 \sqrt{3} }{1} \\ \\ = 7 - 4 \sqrt{3}$

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