Question

Номер 4, пожалуйста помогите!

Answer 1

$frac{5-2 sqrt{6} }{ sqrt{5}+ sqrt{2} } - frac{ sqrt{5}- sqrt{2} }{15+6 sqrt{6} } = frac{(5-2 sqrt{6})( sqrt{5}- sqrt{2} ) }{( sqrt{5}+ sqrt{2})( sqrt{5}- sqrt{2}) }- frac{( sqrt{5}- sqrt{2})(15-6 sqrt{6} ) }{(15+6 sqrt{6})(15-6 sqrt{6}) }= \ frac{5 sqrt{5}-5 sqrt{2}-2 sqrt{5} sqrt{6}+2 sqrt{2} }{5-2}- frac{15 sqrt{5}-6 sqrt{5} sqrt{6}-15 sqrt{2}+6 sqrt{6} sqrt{2} }{225-216} = \ frac{ sqrt{5}(5-2 sqrt{6})- sqrt{2}(5-2 sqrt{6}) }{3} -$$frac{15( sqrt{5}- sqrt{2})-6 sqrt{6}( sqrt{5}- sqrt{2})}{9}= frac{( sqrt{5}- sqrt{2})(5-2 sqrt{6}) }{3}- frac{3(5-2 sqrt{6})( sqrt{5}- sqrt{2}) }{9}=0$ - верно