Question

Simplifique e efetue as operações com radicais:

Answer 1

3)

a)

$3 \sqrt{5} + \sqrt{5} - 6 \sqrt{5} = - 2 \sqrt{5}$

b)

$5 \sqrt[5]{3}+2 \sqrt[5]{3} - 2 \sqrt[5]{3} + \sqrt[5]{3} = 6 \sqrt[5]{3}$

c)

$- 4 + \sqrt[3]{5} + 2 \sqrt[3]{5} - 4 = - 8 + 3 \sqrt[3]{5}$

d)

$2 \sqrt[5]{3} - 2 \sqrt{3} + 3 \sqrt{3} + 3 \sqrt[5]{3} = \\ 5 \sqrt[5]{3}+\sqrt{3}$

e)

$\sqrt{50} + \sqrt{18}-\sqrt{8} \\ = 5\sqrt{2} + 3 \sqrt{2} - 2 \sqrt{2} = 6 \sqrt{2}$

f)

$2 \sqrt{27} - 5 \sqrt{12} = 6 \sqrt{3} - 10 \sqrt{3} \\ = - 4 \sqrt{3}$

g)

$4 \sqrt{63} - \sqrt{7} = 12 \sqrt{7} - \sqrt{7} = 11 \sqrt{7}$

h)

$\sqrt{12} + \sqrt{75} + \sqrt{108} \\ = 2 \sqrt{3} + 5 \sqrt{3} + 6 \sqrt{3} = 13 \sqrt{3}$