Question

1- aplicando a decomposição, simplifique os radicais
2-Resolva as seguinte raízes
De matemática​

Answer 1

1.

a)

$\sqrt{8} = \sqrt{4\times2 } = \sqrt{4} \times \sqrt{2} = 2 \sqrt{2}$

b)

$\sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3 \sqrt{3}$

c)

$\sqrt[3]{81} = \sqrt[3]{27 \times 3} = \sqrt[3]{27} \times \sqrt[3]{3} = 3 \sqrt[3]{3}$

d)

$\sqrt[4]{32} = \sqrt[4]{16 \times 2} = \sqrt[4]{16} \times \sqrt[4]{2} = 2 \sqrt[4]{2}$

e)

$\sqrt[3]{256} = \sqrt[3]{64 \times 4} = \sqrt[3]{64} \times \sqrt[3]{4} = 4 \sqrt[3]{4}$

f)

$\sqrt[3]{972} = \sqrt[3]{27 \times 36} = \sqrt[3]{27} \times \sqrt[3]{36} = 3 \sqrt[3]{36}$

2.

a)

$\sqrt{144} = 12$

b)

$\sqrt{49} = 7$

c)

$\sqrt[3]{1000} = 10$

d)

$\sqrt[3]{64} = 4$