Question

Помогите пожалуйста срочно

Answer 1

$( \frac{1}{b + \sqrt{ab} } + \frac{1}{a - \sqrt{ab} } ) \times \frac{1}{( {a}^{ - 1} + {b}^{ - 1} ) \sqrt{ab} } = \frac{a - \sqrt{ab} + b + \sqrt{ab} }{ (b + \sqrt{ab} )(a - \sqrt{ab} )} \times \frac{1}{( \frac{1}{a} + \frac{1}{b} ) \sqrt{ab} } = \frac{a + b}{(b + \sqrt{ab})(a - \sqrt{ab} ) } \times \frac{1}{ \frac{b + a}{ab} \times \sqrt{ab} } = \frac{a + b}{(b + \sqrt{ab} )(a - \sqrt{ab}) } \times \frac{ab}{(a + b) \sqrt{ab} } = \frac{ \sqrt{ab} }{ab + a \sqrt{ab} - b \sqrt{ab} - ab } = \frac{ \sqrt{ab} }{ \sqrt{ab} (a - b)} = \frac{1}{a - b}$

Answer 2

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