Question

8 дробь корень 6+корень 2

Answer 1

8 / (√6 + √2) =

8×(√6 - √2) / (√6 + √2)(√6 - √2) =

8×(√6 - √2) / (6 - 2) =

8×(√6 - √2) / 4 =

2×(√6 - √2) =

2√6 - 2√2

Answer 2

$frac{8}{ sqrt{6} + sqrt{2} } = frac{8( sqrt{6} - sqrt{2} ) }{ (sqrt{6} + sqrt{2} )( sqrt{6} - sqrt{2} ) } = frac{8( sqrt{6} - sqrt{2)} }{ { sqrt{6}^{2} - { sqrt{2} }^{2} } } = frac{8( sqrt{6} - sqrt{2} ) }{6 - 2} = frac{8( sqrt{6} - sqrt{2}) }{4} = 2 (sqrt{6} - sqrt{2} ) = 2 sqrt{6} - 2 sqrt{2}$