Rationalise the denominator 1/(5+√2)

1.	Rationalise the denominator 1/(5+√2)
Answer» ✯✯ QUESTION ✯✯ Rationalise the DENOMINATOR.. $\dfrac{1}{(5+\sqrt{2}}$ ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ ✰✰ ANSWER ✰✰ $\dfrac{1}{(5+\sqrt{2}}$ $⇝\dfrac{1}{5+\sqrt{2}}\times\dfrac{5-\sqrt{2}}{5-\sqrt{2}}$ $⇝\dfrac{5-\sqrt{2}}{a^2-b^2}$ $⇝\dfrac{5-\sqrt{2}}{(5)^2-(\sqrt{2)}^2}$ $⇝\dfrac{5-\sqrt{2}}{25-2}$ $\large{\boxed{\bold{\bold{\green{\sf{Answer:.\dfrac{5-\sqrt{2}}{23}}}}}}}$

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