Math, asked by ishagotnojams13, 2 months ago

find values of 'a' and 'b'​

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Answers

Answered by shan650500
1

Answer:

a = 43/7

b = 30/7

Step-by-step explanation:

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Answered by tejas130405
1

Answer:

a =  \frac{43}{7}

b =  \frac{30}{7}

Step-by-step explanation:

 \frac{5 + 3 \sqrt{2} }{5 - 3 \sqrt{2} }  = a + b \sqrt{2}

 \frac{5 + 3 \sqrt{2} }{5 - 3 \sqrt{2} }  =  \frac{5 + 3 \sqrt{2} }{5 - 3 \sqrt{2}  }  \times  \frac{5 + 3 \sqrt{2} }{5 +  3 \sqrt{2} }  = \frac{ {(5 + 3 \sqrt{2)} }^{2} }{ {5}^{2} - (3 \sqrt{2) ^{2} }  }

 \frac{ {5}^{2}  +  {3 \sqrt{2} }^{2}  + 2 \times 5 \times 3 \sqrt{2} }{25 - 18}

 \frac{25 + 18 + 30 \sqrt{2} }{7}

 \frac{43 + 30 \sqrt{2} }{7}

On comparision

a =  \frac{43}{7}

b =  \frac{30}{7}

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