Question

ПОМОГИТЕ СРОЧНО!
а) $frac{sqrt{5}-5}{sqrt{2}-sqrt{10}}$
б) $frac{t-19sqrt{t}}{2sqrt{t}-38}$

Answer 1

$frac{ sqrt{5} -5}{ sqrt{2}- sqrt{10} } = frac{ sqrt{5} -(sqrt{5})^2}{ sqrt{2}- sqrt{2} sqrt{5} } = frac{ sqrt{5}(1 -sqrt{5})}{ sqrt{2}(1- sqrt{5}) } =frac{ sqrt{5}}{ sqrt{2} } = sqrt{5/2}= sqrt{2.5} \ \ frac{t-19 sqrt{t} }{2 sqrt{t}-38 } =frac{( sqrt{t})^2 -19 sqrt{t} }{2 sqrt{t}-2*19 } =frac{ sqrt{t}( sqrt{t}-19) }{2( sqrt{t}-19) } =sqrt{t}/2=0.5sqrt{t}$