Question

Aqui,QueenOfHell
2) Simplifique os radicais e efetue as operações:

a) √28 - 10√7 =
b) 9√2 + 3√50 =
c) 6√3 + √75 =
d) 2√50 + 6√2 =
e) √98 + 5√18 =
f) 3√98 - 2√50 =
g) 3√8 - 7√50 =
h) 2√32 - 5√18 =

Answer 1

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A-

$\sqrt{28} - 10 \sqrt{7} \\ 2 \sqrt{7} - 10 \sqrt{7} \\ ( 2 - 10) \sqrt{7} \\ - 8 \sqrt{7}$

B-

$9 \sqrt{2} + 3 \sqrt{50} \\ 9 \sqrt{2} \times 3 \times 5 \sqrt{2} \\ 9 \times 2 \times 3 \times 5 \\ 9 \times 10 \times 3 \\ 90 \times 3 \\ 270$

C-

$6 \sqrt{3} + \sqrt{75} \\ 6 \sqrt{3} + 5 \sqrt{3} \\ (6 + 5) \sqrt{3} \\ 11 \sqrt{3}$

D-

$2 \sqrt{50} + 6 \sqrt{2} \\ 10 \sqrt{2} + 6 \sqrt{2} \\ (10 + 6) \sqrt{2} \\ 16 \sqrt{2}$

E-

$\sqrt{98} + 5 \sqrt{18} \\ 7 \sqrt{2} + 5 \sqrt{18} \\ 7 \sqrt{2} + 15 \sqrt{2} \\ (7 + 15) \sqrt{2} \\ 22 \sqrt{2}$

F-

$3 \sqrt{98} - 2 \sqrt{50} \\ 21 \sqrt{2} - 2 \sqrt{50} \\ 21 \sqrt{2} - 10 \sqrt{2} \\ (21 - 10) \sqrt{2} \\ 11 \sqrt{2}$

G-

$3 \sqrt{8} - 7 \sqrt{50} \\ 6 \sqrt{2} - 7 \sqrt{50} \\ 6 \sqrt{2} - 35 \sqrt{2} \\ (6 - 35) \sqrt{2} \\ - 29 \sqrt{2}$

H-

$2 \sqrt{32} - 5 \sqrt{18} \\ 2 \sqrt[3]{2} - 5 \sqrt{18} \\ 2 \sqrt[3]{2} - 15 \sqrt{2} \\ 8 \sqrt{2} - 15 \sqrt{2} \\ (8 - 15) \sqrt{2} \\ - 7 \sqrt{2}$

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