Question

Rationalize- (1)/(7-4sqrt(3))

Answer 1

Answer:

$\huge{\boxed{\boxed{\sf{\frac{1}{7-4\sqrt{3}}=13.92}}}}$

Step-by-step explanation:

$\huge{\boxed{\boxed{\underline{\sf{SOLUTION-}}}}}$

$rationalise \: the \: number \\ = )\frac{1}{7 - 4 \sqrt{3} } \\ = ) \frac{1}{7 - 4 \sqrt{ 3} } \times \frac{7 + 4 \sqrt{3} }{7 + 4 \sqrt{3} } \\ = ) \frac{7 + 4 \sqrt{3} }{ ({7})^{2} - ({4 \sqrt{3} })^{2} } \\ = ) \frac{7 + 4 \sqrt{3} }{49 -4 8} \\ = ) \frac{7 + 4\sqrt{3} }{1} \\ = )7 + 4 \times 1.73 \\ = )7 +6.9 2 \\ = )13.92$

$\huge{\boxed{\boxed{\sf{\frac{1}{7-4\sqrt{3}}=13.92}}}}$