Math, asked by nehatomar39039, 11 months ago

Rationalize the denominator of : √5+√2/√5-√2
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Answers

Answered by Cynefin
1

Answer:

Hey mate, Good evening ❤

☯️Here's ur answer..☆☆☆

Step-by-step explanation:

 \huge{ \bf{ \pink{ \mid{ \underline{ \overline{ \blue{ rationalisation}}}}}}}

 \large{given... \frac{ \sqrt{5}  +  \sqrt{2} }{ \sqrt{5}  -  \sqrt{2} }}  \\   \large{=  (\frac{ \sqrt{5 } +  \sqrt{2} )( \sqrt{5}   +  \sqrt{2} )}{( \sqrt{5}  -  \sqrt{2})( \sqrt{5} +  \sqrt{2} )   }}  \\   \large{=  \frac{( \sqrt{5}  +  \sqrt{2}) {}^{2}  }{( \sqrt{5}) {}^{2} -  (\sqrt{2} ) {}^{2}   }}  \\ \large{  =  \frac{5 + 2 + 2 \times  \sqrt{5} \times  \sqrt{2}  }{5 - 2} } \\ \large{ \red{  =  \frac{7 + 2 \sqrt{10} }{3} }} (\blue{answer...})

☁️Hope this helps you..

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