Question

me ajudem, por favor.​

Answer 1

Resposta:

26)

a)

$\sqrt[3]{5} \times \sqrt[3]{6} = \sqrt[3]{5 \times 6} = \sqrt[3]{30}$

b)

$\sqrt{2} \times \sqrt{8} = \sqrt{2 \times 8} = \sqrt{16} = 4$

c)

$\sqrt{2} \times \sqrt{6} \times \sqrt{3} = \sqrt{2 \times 6 \times 3} = \sqrt{36} = 6$

d)

$\sqrt{5} \times \sqrt{10} = \sqrt{5 \times 10} = \sqrt{50} = \sqrt{25 \times 2} = 5 \sqrt{2}$

e)

$\sqrt[3]{4} \times \sqrt[3]{6} = \sqrt[3]{4 \times 6} = \sqrt[3]{24}$

f)

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

O índice da raíz é mmc de 2 e 3.

2,3/2

1,3/3

1,1/____

2×3 = 6

índice 6.

Expoênte do 2 e 5.

mmc duvidido pelos índices anteriores.

expênte do 2 é:

6 ÷ 2 = 3

expoênte do 5 é:

6 ÷ 3 = 2

$\sqrt{2} \times \sqrt[3]{5} = \sqrt[2 \times 3]{2 {}^{(2 \times 3) \div 2} \times 5 {}^{(2 \times 3) \div 3} } = \\ \\ \sqrt[6]{ {2}^{(6) \div 2 } \times {5}^{(6) \div 3} } = \\ \\ \sqrt[6]{ {2}^{3} \times {5}^{2} } = \sqrt[6]{(2 \times 2 \times 2) \times (5 \times 5 )} = \sqrt[6]{8 \times 25} </strong><strong>=</strong><strong> \\ \\ \sqrt[6 ]{200}$