Math, asked by khanjan41, 10 months ago

rationalise the denominator ​

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Answered by lakhankaran0
0

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Here is your answer bro

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Answered by MagicalGiggles
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\huge\bold\green{꧁}\sf\pink{\fbox{\sf{MagicalGiggles}}}\huge\bold\green{꧂}

=> \frac{√7+√2}{9+2√14} × \frac{9-2√14}{9-2√14}

=> \frac{9(√7+√2)~-~2√14(√7+√2)}{(9)²-(2√14)²}

=> \frac{9√7+9√2-2√98-2√28}{81-4~×~14}

 =  >  \frac{9 \sqrt{7} + 9 \sqrt{2}  - 2 \sqrt{2 \times 49} - 2 \sqrt{4 \times 7}   }{25}

=> \frac{9√7+9√2-2~×~7√2-2~×~2√7}{25}

=> \frac{9√7+9√2-14√2-4√7}{25}

=> \frac{9√7-4√7+9√2-14√2}{25}

=> \frac{5√7~-~5√2}{25}

===> \frac{√7~~-~~√2}{5} ☑️

\huge\bold\green{꧁}\sf\pink{\fbox{\sf{MagicalGiggles}}}\huge\bold\green{꧂}

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