Math, asked by btsarmy4569, 7 months ago

The value of ( 1/2+ under root 3) + ( 2/ under root 5 - under root 3) + (1/2- underroot 5)​

Answers

Answered by divyanshunegi953
1

Answer:

3√3 - 2√15 + 3 - 2√5 all is divided by 2

Answered by srishtiiii
1

Answer:

1 -  \frac{3}{ \sqrt{5} }

Step by step explanation:

( \frac{1}{2}  +  \sqrt{3} ) + ( \frac{2}{ \sqrt{5} }   -  \sqrt{3})  + ( \frac{1}{2}  -  \sqrt{5} ) \\  =  \frac{1}{2}  +  \sqrt{3}  +  \frac{2}{ \sqrt{5} }  -  \sqrt{3}  +  \frac{1}{2}  -  \sqrt{5}  \\  =  \frac{1}{2}  +  \frac{1}{2}  +  \sqrt{3}  -  \sqrt{3}  +  \frac{2}{ \sqrt{5} }  -  \sqrt{5}  \\  = 1 +  \frac{2}{ \sqrt{5} }  -  \sqrt{5}  \\  =  \frac{ \sqrt{5}  + 2 - ( \sqrt{5})( \sqrt{5})  }{ \sqrt{5} }  \\  =  \frac{ \sqrt{5} + 2 - 5 }{ \sqrt{5} }  \\ =  \frac{ \sqrt{5} - 3 }{ \sqrt{5} }  \\  =  \frac{ \sqrt{5} }{ \sqrt{5} }  -  \frac{3}{ \sqrt{5} }  \\  = 1 -  \frac{3}{ \sqrt{5} }

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Hope this helps :)

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