Автор - malikaasanova92

решите пожалуйста
ответ 1​

Ответ

Автор - tamarabernukho

Ответ:

Объяснение:

dfrac{dfrac{2a}{sqrt{a+b} }+sqrt{a-b}  }{1+sqrt{dfrac{a-b}{a+b} } } *dfrac{2b}{(a+b)sqrt{a+b}-(a-b)sqrt{a-b}  } =1\ \ \

1)dfrac{2a}{sqrt{a+b} }+sqrt{a-b}=dfrac{2a+sqrt{a-b} sqrt{a+b} }{sqrt{a+b} }\  \ \

2)1+sqrt{dfrac{a-b}{a+b}}=dfrac{sqrt{a+b} +sqrt{a-b} }{sqrt{a+b} }\  \ \

3)dfrac{2a+sqrt{a-b} sqrt{a+b} }{sqrt{a+b} }*dfrac{sqrt{a+b} }{sqrt{a+b}+sqrt{a-b} }=dfrac{2a+sqrt{a-b}sqrt{a+b}}{sqrt{a+b}+sqrt{a-b}} \  \ \

4)dfrac{2b}{(a+b)sqrt{a+b}-(a-b)sqrt{a-b}}=dfrac{2b}{(sqrt{a+b})^3-(sqrt{a-b})^3} =\ \ \dfrac{2b}{(sqrt{a-b}-sqrt{a+b)}(a+b+a-b+sqrt{a+b}sqrt{a-b})}}}\ \ \

5)dfrac{2a+sqrt{a-b}sqrt{a+b}}{sqrt{a+b}+sqrt{a-b}}*dfrac{2b}{(sqrt{a+b}-sqrt{a-b)}(2a+sqrt{a+b}sqrt{a-b} )}=\ \ \dfrac{2b}{(sqrt{a+b}+sqrt{a-b})(sqrt{a+b}-sqrt{a-b})} =dfrac{2b}{a+b-a+b} =dfrac{2b}{2b}=1

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