Math, asked by ameher539, 6 months ago

Simplify :√5+√3
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√80+√48-√27-√45

Answers

Answered by mathdude500
3

\bf \:\huge {AηsωeR }

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\bf \:  ⟼ \dfrac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{80} +  \sqrt{48} -  \sqrt{27}  -  \sqrt{45}   }

\sf \:  ⟼\dfrac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{4 \times 4 \times 5} +  \sqrt{4 \times 4 \times 3} -  \sqrt{3 \times 3 \times 3}  -  \sqrt{3 \times 3 \times 5}   }

\sf \:  ⟼\dfrac{ \sqrt{5}  +  \sqrt{3} }{ 4\sqrt{5} + 4 \sqrt{3} -  3\sqrt{3}  -  3\sqrt{5}   }

\sf \:  ⟼\dfrac{ \sqrt{5} +  \sqrt{3}  }{(4 \sqrt{5}  - 3 \sqrt{5}) + (4 \sqrt{3} - 3 \sqrt{3}   )}

\sf \:  ⟼\dfrac{  \cancel{(\sqrt{5}  +  \sqrt{3}) }}{\cancel{(\sqrt{5}  +  \sqrt{3}) }}  = 1

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\large{\boxed{\boxed{\sf{Hence, \dfrac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{80} +  \sqrt{48} -  \sqrt{27}  -  \sqrt{45}   } = 1}}}}

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Answered by zeinabsalim
0
Hello 26463 is the ans dear
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