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А93 )
![frac{a sqrt{a} + b sqrt{b} }{ sqrt{a} + sqrt{b} } + ( {ab})^{ frac{1}{2} } = frac{ {( sqrt{a} })^{2} sqrt{a} + { (sqrt{b} )}^{2} sqrt{b} }{ sqrt{a} + sqrt{b} } + sqrt{ab} = \ \ = frac{ ({ sqrt{a} })^{3} + { (sqrt{b}) }^{3} }{ sqrt{a} + sqrt{b} } + sqrt{ab} = frac{( sqrt{a} + sqrt{b})(a - sqrt{ab} + b )}{ sqrt{a} + sqrt{b} } + sqrt{ab} = \ \ = a - sqrt{ab} + b + sqrt{ab} = a + b = frac{19}{4} + 3.25 = 4.75 - 3.25 = 1.5 \ frac{a sqrt{a} + b sqrt{b} }{ sqrt{a} + sqrt{b} } + ( {ab})^{ frac{1}{2} } = frac{ {( sqrt{a} })^{2} sqrt{a} + { (sqrt{b} )}^{2} sqrt{b} }{ sqrt{a} + sqrt{b} } + sqrt{ab} = \ \ = frac{ ({ sqrt{a} })^{3} + { (sqrt{b}) }^{3} }{ sqrt{a} + sqrt{b} } + sqrt{ab} = frac{( sqrt{a} + sqrt{b})(a - sqrt{ab} + b )}{ sqrt{a} + sqrt{b} } + sqrt{ab} = \ \ = a - sqrt{ab} + b + sqrt{ab} = a + b = frac{19}{4} + 3.25 = 4.75 - 3.25 = 1.5 \](https://tex.z-dn.net/?f=+frac%7Ba+sqrt%7Ba%7D+%2B+b+sqrt%7Bb%7D+%7D%7B+sqrt%7Ba%7D+%2B+sqrt%7Bb%7D+%7D+%2B+%28+%7Bab%7D%29%5E%7B+frac%7B1%7D%7B2%7D+%7D+%3D+frac%7B+%7B%28+sqrt%7Ba%7D+%7D%29%5E%7B2%7D+sqrt%7Ba%7D+%2B+%7B+%28sqrt%7Bb%7D+%29%7D%5E%7B2%7D+sqrt%7Bb%7D+%7D%7B+sqrt%7Ba%7D+%2B+sqrt%7Bb%7D+%7D+%2B+sqrt%7Bab%7D+%3D+%5C+%5C+%3D+frac%7B+%28%7B+sqrt%7Ba%7D+%7D%29%5E%7B3%7D+%2B+%7B+%28sqrt%7Bb%7D%29+%7D%5E%7B3%7D+%7D%7B+sqrt%7Ba%7D+%2B+sqrt%7Bb%7D+%7D+%2B+sqrt%7Bab%7D+%3D+frac%7B%28+sqrt%7Ba%7D+%2B+sqrt%7Bb%7D%29%28a+-+sqrt%7Bab%7D+%2B+b+%29%7D%7B+sqrt%7Ba%7D+%2B+sqrt%7Bb%7D+%7D+%2B+sqrt%7Bab%7D+%3D+%5C+%5C+%3D+a+-+sqrt%7Bab%7D+%2B+b+%2B+sqrt%7Bab%7D+%3D+a+%2B+b+%3D+frac%7B19%7D%7B4%7D+%2B+3.25+%3D+4.75+-+3.25+%3D+1.5+%5C+)
А94 )
![frac{a sqrt{a} - b sqrt{b} }{ {a}^{ frac{1}{2} } - {b}^{ frac{1}{2} } } - sqrt{ab} = frac{ ({ sqrt{a}) }^{3} - { (sqrt{b} })^{3} }{ sqrt{a} - sqrt{b} } - sqrt{ab} = frac{( sqrt{a} - sqrt{b} )(a + sqrt{ab} + b) }{ sqrt{a} - sqrt{b} } - sqrt{ab} = \ \ = a + sqrt{ab} + b - sqrt{ab} = a + b = frac{14}{5} + 2.2 = 2.8 + 2.2 = 5 frac{a sqrt{a} - b sqrt{b} }{ {a}^{ frac{1}{2} } - {b}^{ frac{1}{2} } } - sqrt{ab} = frac{ ({ sqrt{a}) }^{3} - { (sqrt{b} })^{3} }{ sqrt{a} - sqrt{b} } - sqrt{ab} = frac{( sqrt{a} - sqrt{b} )(a + sqrt{ab} + b) }{ sqrt{a} - sqrt{b} } - sqrt{ab} = \ \ = a + sqrt{ab} + b - sqrt{ab} = a + b = frac{14}{5} + 2.2 = 2.8 + 2.2 = 5](https://tex.z-dn.net/?f=+frac%7Ba+sqrt%7Ba%7D+-+b+sqrt%7Bb%7D+%7D%7B+%7Ba%7D%5E%7B+frac%7B1%7D%7B2%7D+%7D+-+%7Bb%7D%5E%7B+frac%7B1%7D%7B2%7D+%7D+%7D+-+sqrt%7Bab%7D+%3D+frac%7B+%28%7B+sqrt%7Ba%7D%29+%7D%5E%7B3%7D+-+%7B+%28sqrt%7Bb%7D+%7D%29%5E%7B3%7D+%7D%7B+sqrt%7Ba%7D+-+sqrt%7Bb%7D+%7D+-+sqrt%7Bab%7D+%3D+frac%7B%28+sqrt%7Ba%7D+-+sqrt%7Bb%7D+%29%28a+%2B+sqrt%7Bab%7D+%2B+b%29+%7D%7B+sqrt%7Ba%7D+-+sqrt%7Bb%7D+%7D+-+sqrt%7Bab%7D+%3D+%5C+%5C+%3D+a+%2B+sqrt%7Bab%7D+%2B+b+-+sqrt%7Bab%7D+%3D+a+%2B+b+%3D+frac%7B14%7D%7B5%7D+%2B+2.2+%3D+2.8+%2B+2.2+%3D+5)
А94 )
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