Math, asked by TevorxNoah, 2 months ago

CLASS 10 MATHS
ANSWER PLEASE

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Answers

Answered by ananya661
1

Step-by-step explanation:

hence option A) is the answer

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Answered by Athul4152
1

ANSWER = (A) a = 13/7 , b = 9/7

 \huge\sf\underline{\underline{ Question}}

 \sf\pink{\frac{3+2\sqrt{2}}{3- \sqrt{2} } = a + b√2 . Find \: a \: and \:  b  }

 \huge\sf\underline{\underline{Answer}}

 \frac{3 + 2 \sqrt{2} }{3 -  \sqrt{2} } =  \frac{(3 + 2 \sqrt{2}) \times (3 +  \sqrt{2}  )}{(3 -  \sqrt{2}) \times (3 + \sqrt{2})  }   \\

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   =  \frac{9 + 3 \sqrt{2} + 6 \sqrt{2}   + 4}{ {3}^{2}  - { \sqrt{2} }^{2} }  \\

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  \frac{13 + 9 \sqrt{2} }{9 - 2 }  \\

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  \frac{13 + 9 \sqrt{2} }{7}  \\

a \:  =  \frac{13}{7}  \\

b \:  =  \frac{9}{7}  \\

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