Question

Transforme as raízes em uma única raiz​

Answer 1

Resposta:

$a) \sqrt{ \sqrt[3]{12} } = \sqrt[2 \times 3]{12} = \sqrt[6]{12}$

$b) \sqrt[5]{ \sqrt{3} } = \sqrt[5 \times 2]{3} = \sqrt[10]{3}$

$c) \sqrt{ \sqrt[5]{10} } = \sqrt[2 \times 5]{10} = \sqrt[10]{10}$

$d) \sqrt{ \sqrt[12]{50} } = \sqrt[2 \times 12]{50} = \sqrt[24]{50}$

$e) \sqrt[7]{ \sqrt{3} } = \sqrt[7 \times 2]{3} = \sqrt[14]{3}$

Answer 2

Explicação passo-a-passo:

$a) \sqrt{ \sqrt[3]{12} } = \sqrt[2 \times 3]{12} = \sqrt[6]{12}$

$\sqrt[5]{ \sqrt{3} } = {} \sqrt[5 \times 2]{3} = \sqrt[10]{3}$

$c) \sqrt{ \sqrt[5]{10} } = \sqrt[2 \times 5]{10} = \sqrt[10]{10}$

$d) \sqrt{ \sqrt[12]{50} } = \sqrt[2 \times 12]{50} = \sqrt[24]{50}$

$e) \sqrt[7]{ \sqrt{3} } = \sqrt[7 \times 2]{3} = \sqrt[14]{3}$