Question

simplifique as raizes​

Answer 1

Resposta:

$\sqrt[3]{88} = \sqrt[3]{2 \times 2 \times 2 \times 11} = \sqrt[3]{ {2}^{3} \times 11} = 2 \sqrt{11}$

$\sqrt{164} = \sqrt{2 \times 9 \times 9} = \sqrt{ {9}^{2} \times2 } = 9 \sqrt{2}$

$\sqrt[4] {405} = \sqrt[4] {5 \times 3 \times 3 \times 3 \times 3} = \sqrt[4]{ {3}^{4} \times 5} =3 \sqrt{5}$

$\sqrt[3]{2808} = \sqrt[3]{2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 13} = \sqrt[3]{ {2}^{3} \times {3}^{3} \times 13 } = 2 \times 3 \sqrt[3]{13} = 6 \sqrt[3]{13}$

$\sqrt[5]{18711} = \sqrt[5]{3 \times 3 \times 3 \times 3 \times 3 \times 77} = \sqrt[5]{ {3}^{5} \times 77} = 3 \sqrt[5]{77}$

espero que isso ajude vc