Question

The number obtained on rationalising the denominator of 5/(9-4√2)is?​

Answer 1

$\large\bold{\underline{\underline{Solution:-}}}$

$\longrightarrow{\green{}}$ $\frac{5}{(9 - 4 \sqrt{2} )}$

$\longrightarrow{\green{}}$ $\frac{5}{(9 - 4 \sqrt{2} )} \times \frac{9 + 4 \sqrt{2} }{9 + 4 \sqrt{2} }$

$\longrightarrow{\green{}}$ $\frac{5(9 + 4 \sqrt{2}) }{( {9})^{2} - ({4 \sqrt{2} })^{2} }$

$\longrightarrow{\green{}}$ $\frac{45 + 20 \sqrt{2} }{81 - 32}$

$\longrightarrow{\green{}}$ $\frac{45 + 20 \sqrt{2} }{49}$

$\large\mathfrak{{\pmb{\underline{\red{Tornado77 }}{\red{❦}}}}}$