Question

Помогите пожалуйста!!!!

Answer 1

$\sqrt{4- \sqrt{7} } * \sqrt{4+ \sqrt{7} }= \sqrt{(4- \sqrt{7})*(4+ \sqrt{7} ) } = \sqrt{4 ^{2}-( \sqrt{7} ) ^{2} } =$$\sqrt{16-7} = \sqrt{9} =3$

$\sqrt[3]{7- \sqrt{22} } * \sqrt[3]{7+ \sqrt{22} }= \sqrt[3]{(7- \sqrt{22})(7+ \sqrt{22}) }= \sqrt[3]{7 ^{2}-( \sqrt{22}) ^{2} }=$$\sqrt[3]{49-22}= \sqrt[3]{27}=3$

$\sqrt[4]{ \sqrt{629}-2 }* \sqrt[4]{ \sqrt{629} +2} = \sqrt[4]{( \sqrt{629}-2)( \sqrt{629}+2)}=$$\sqrt[4]{( \sqrt{629}) ^{2} -2 ^{2} }= \sqrt[4]{629-4}= \sqrt[4]{625}= \sqrt[4]{5 ^{4} } =5$