Question

Utilize as propriedades de radicais e calcule:

Answer 1

Resposta:

a)

$\sqrt[ \sqrt[4]{} ]{ {7 }^{8} } + \sqrt{2} \times \sqrt[12]{ {8}^{6} } = \\ \\ \sqrt[4 \times 2]{ {7}^{8} } + \sqrt{2} \times \sqrt[12 \div 6]{ {8 }^{6 \div 6} } = \\ \\ \sqrt[8]{ {7}^{8} } + \sqrt{2} \times \sqrt[]{8} = \\ \\ 7 + \sqrt{2 \times 8} = \\ \\ 7 + \sqrt[]{16} = \\ \\ 7 + 4 = 11$

b)

$\sqrt{ \sqrt{ {13}^{4} } } + \sqrt[4]{2} \times \sqrt[32]{ {8}^{8} } = \\ \\ \sqrt[2 \times 2]{ {13}^{4} } + \sqrt[4]{2} \times \sqrt[32 \div 8 ]{ {( 8 )}^{8 \div 8 } } = \\ \\ \sqrt[4]{ {13 }^{4} } + \sqrt[4]{2 } \times \sqrt[4]{8} = \\ \\ 13 + \sqrt[4]{2 \times 8} = \\ \\ 13 + \sqrt[4]{16} = \\ \\ 13 + \sqrt[4]{ {2}^{4} } = \\ \\ 13 + 2 = 15$

Bons Estudos!