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Q5) Rationalize 1/(7+5√2)​

Answer»

ANSWER:

            -7 + 5√2

Step-by-step EXPLANATION:

\displaystyle\frac1{7+5\sqrt2}\\\\=\frac{7-5\sqrt2}{(7+5\sqrt2)(7-5\sqrt2)}\\\\=\frac{7-5\sqrt2}{7^2-(5\sqrt2)^2}\\\\=\frac{7-5\sqrt2}{49-25\times2}\\\\=\frac{7-5\sqrt2}{49-50}\\\\=\frac{7-5\sqrt2}{-1}\\\\=-7+5\sqrt2



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