Math, asked by ks820967134597, 23 days ago

rationalize and explain in the form of a and b​

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Answered by hana121
2

Answer:

a is 3 and b is -√2

Step-by-step explanation:

 \frac{4 +  \sqrt{2} }{2 +  \sqrt{2} }  \:  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: multiply  \: both \:  the \:  numerator  \: and \:  the \:  denominator \:  by \:  the \:  conjugate(opposite \: sign)  \: of \:  the \:  denominator. \\  \frac{4 +  \sqrt{2} }{2 +  \sqrt{2} }  \times  \frac{2  -  \sqrt{2} }{2 -  \sqrt{2} }  \\  \frac{(4 +  \sqrt{2})(2 -  \sqrt{2})  }{ {2}^{2}  -  { (\sqrt{2} })^{2} }   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: (a + b)(a - b) =  {a}^{2}  -  {b}^{2}  \\  \frac{8 - 4 \sqrt{2}  + 2 \sqrt{2}  - 2}{4 - 2}  \\  \frac{6 - 2 \sqrt{2} }{2}  \\  \frac{2(3 -  \sqrt{2}) }{2}  \\ 3 -  \sqrt{2}

we got the answer as a - b

hope this helps

Answered by Anonymous
1

Step-by-step explanation:

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