Math, asked by viviansamuel42, 1 year ago

Someone help me with this question quick


Thanks in advance

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Answered by subhamoym88
3
answer will be
13 -  \sqrt{6}
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Answered by DeeptiMohanty
3

 =  \frac{5 \sqrt{3} +  \sqrt{2}  }{ \sqrt{3}  +  \sqrt{2} }  \\ on \: rationlizing  \\ \: the \: denominator \\ we \: get \\  \\  = \frac{5 \sqrt{3} +  \sqrt{2}  }{ \sqrt{3}  +  \sqrt{2} } \times \frac{ \sqrt{3 }  -  \sqrt{2} }{ \sqrt{3}  -  \sqrt{2} }  \\   \\ =   \frac{( 5 \sqrt{3}  +  \sqrt{2} )( \sqrt{3}  -  \sqrt{2)}  }{3 - 2 }  \\  \\  = ( 5 \sqrt{3}  +  \sqrt{2} )( \sqrt{3}  -  \sqrt{2)}  \\ \\   = 15 - 5 \sqrt{6}  +  \sqrt{6}  - 2 \\  \\ =  13 - 4 \sqrt{6}   \\ \\ here \: is \: your \: answer \:  \\ hope \: this \: helps \: you
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