Math, asked by officalmuhammad2, 2 months ago

7(2-√5)/(2+√3) rationalize denominator guys please help me out of this​

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Answered by ManishShah98
2

question =  \frac{7(2 -  \sqrt{5)} }{2 +  \sqrt{3} } .  \\ \\ solution. \\  \\ =  \frac{7(2 -  \sqrt{5)} }{2 +  \sqrt{3} } \\  \\ =  \frac{7(2 -  \sqrt{5)} \times( 2 -  \sqrt{3})  }{2 +  \sqrt{3} \times 2 -  \sqrt{3}  } \\  \\  =  \frac{(14 - 7 \sqrt{5}) \times (2 -  \sqrt{3} ) }{ {2}^{2}  - ( \sqrt{3} ) {}^{2} }  \\  \\   = \frac{28 - 14 \sqrt{3} - 14 \sqrt{5}   + 7 \sqrt{3} }{4 - 3}  \\  \\  =  \frac{28 - 7 \sqrt{3}  - 14 \sqrt{5} }{1}  \\  \\  = 7(4 -  \sqrt{3}  - 2 \sqrt{5} ) \:  \: answer...

Answered by knockknockterabapaya
0

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it's the ans ..if u have any objection u can tell me

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