Question

simplyfy by rationalising the denominator 1/7-4√3​

Answer 1

Answer:

${ \underline{question}} \\ \frac{1}{7 - 4 \sqrt{3} } \: \: { \underline{rationalising \: this \: question}} \\ { \underline{solution}} \\ \\ \frac{1}{7 - 4 \sqrt{3} } \times \frac{7 + 4 \sqrt{3} }{7 + 4 \sqrt{3} } \\ = \frac{7 + 4 \sqrt{3} }{( {7)}^{2} - (4 \sqrt{3}) {}^{2} } \\ = \frac{7 + 4 \sqrt{3} }{49 - 48} \\ = 7 + 4 \sqrt{ 3}$

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