Question

найдите значение выражения √ (√8-3) ^ 2 - √ (√2-3) ^ 2

Answer 1

$sqrt{( sqrt{8} -3) ^ 2} - sqrt{( sqrt{2} -3) ^ 2} = |sqrt{8} -3|-|sqrt{2} -3|=3-sqrt{8}-\-(3-sqrt{2})=3-sqrt{8}-3+ sqrt{2} = sqrt{2}- sqrt{8} =sqrt{2}- 2sqrt{2}= -sqrt{2}$