Question

Resolva as operações dos radicais a seguir.​

Answer 1

Explicação passo-a-passo:

A)

$\sqrt{2} + \sqrt{32}$

$\sqrt{2} + 2 {}^{2} \sqrt{2}$

$\sqrt{2} + 4 \sqrt{2}$

$(1 + 4) \sqrt{2}$

$5 \sqrt{2}$

B)

$\sqrt{27} + \sqrt{3}$

$\sqrt{3 {}^{3} } + \sqrt{3}$

$\sqrt{3 {}^{2 + 1} } + \sqrt{3}$

$\sqrt{3 {}^{2} \times 3 {}^{1} } + \sqrt{3}$

$\sqrt{3 {}^{2} \times 3} + \sqrt{3}$

$\sqrt{3 {}^{2} } \sqrt{3} + \sqrt{3}$

$3 \sqrt{3} + \sqrt{3}$

$(3 + 1) \sqrt{3}$

$4 \sqrt{3}$

C)

$3 \sqrt{5} + \sqrt{20}$

$3 \sqrt{5} + \sqrt{2 {}^{2} \times 5}$

$3 \sqrt{5} + \sqrt{2 {}^{2} } \sqrt{5}$

$3 \sqrt{5} + 2 \sqrt{5}$

$(3 + 2) \sqrt{5}$

$5 \sqrt{5}$

D)

$2 \sqrt{2} + \sqrt{8}$

$2 \sqrt{2} + \sqrt{2 {}^{3} }$

$2 \sqrt{2} + \sqrt{2 {}^{2 + 1} }$

$2 \sqrt{2} + \sqrt{2 {}^{2} \times 2 {}^{1} }$

$2 \sqrt{2} + \sqrt{2 {}^{2} \times 2}$

$2 \sqrt{2} + \sqrt{2 {}^{2} } \sqrt{2}$

$2 \sqrt{2} + 2 \sqrt{2}$

$(2 + 2) \sqrt{2}$

$4 \sqrt{2}$

E)

$\sqrt{27} + 5 \sqrt{3}$

$\sqrt{3 {}^{3} } + 5 \sqrt{3}$

$\sqrt{3 {}^{2 + 1} } + 5 \sqrt{3}$

$\sqrt{3 {}^{2} \times 3 {}^{1} } + 5 \sqrt{3}$

$\sqrt{3 {}^{2} \times 3} + 5 \sqrt{3}$

$\sqrt{3 {}^{2} } \sqrt{3} + 5 \sqrt{3}$

$3 \sqrt{3} + 5 \sqrt{3}$

$(3 + 5) \sqrt{3}$

$8 \sqrt{3}$

F)

$2 \sqrt{7} + \sqrt{28}$

$2 \sqrt{7} + \sqrt{2 {}^{2} \times 7 }$

$2 \sqrt{7} + \sqrt{2 {}^{2} } \sqrt{7}$

$2 \sqrt{7} + 2 \sqrt{7}$

$(2 + 2) \sqrt{7}$

$4 \sqrt{7}$

G)

$\sqrt{50} - \sqrt{98}$

$\sqrt{5 {}^{2} \times 2} - \sqrt{7 {}^{2} \times 2}$

$\sqrt{5 {}^{2} } \sqrt{2} - \sqrt{7 {}^{2} } \sqrt{2}$

$5 \sqrt{2} - 7 \sqrt{2}$

$(5 - 7) \sqrt{2}$

$- 2 \sqrt{2}$

H)

$\sqrt{12} - 6 \sqrt{3}$

$\sqrt{2 {}^{2} \times 3} - 6 \sqrt{3}$

$\sqrt{2 {}^{2} } \sqrt{3} - 6 \sqrt{3}$

$2 \sqrt{3} - 6 \sqrt[]{3}$

$(2 - 6) \sqrt{3}$

$- 4 \sqrt{3}$