Răspuns:
[tex]\boxed{\bf 2 \sqrt[20]{8} }[/tex]
Explicație pas cu pas:
[tex]\bf{ \sqrt[4]{2} \times \sqrt{2} \times \sqrt[5]{4} = \sqrt[20]{ {2}^{5} } \times \sqrt[20]{ {2}^{10} } \times \sqrt[20]{ {4}^{4} } }[/tex]
[tex]\bf{am \: transformat \: folosind \: \sqrt[n]{a} = \sqrt[mn]{ {a}^{m} } }[/tex]
[tex]\bf{ = \sqrt[20]{ {2}^{5} \times {2}^{10} \times {4}^{4} } = \sqrt[20]{ {2}^{5} \times {2}^{10} \times {2}^{8} } }[/tex]
[tex]\bf{ \sqrt[20]{2 {}^{5 + 10 + 8} } = \sqrt[20]{ {2}^{23} } = }[/tex]
[tex]\bf{2 \sqrt[20]{2 {}^{3} } =\boxed{\bf 2 \sqrt[20]{8} } }[/tex]
Bafta ! :)
