Question

2) Simplifique:

a)√99=
b)√450=
c)√800=
d)√432=
e)√500=
f)∛16=
g)√700=
h)⁵√224

Answer 1

a)

$\sqrt{99} = \sqrt{9 \times 11} = \sqrt{9} \times \sqrt{11} = 3 \sqrt{11}$

b)

$\sqrt{450} = \sqrt{225 \times 2} = \sqrt{225} \times \sqrt{2} = 15 \sqrt{2}$

c)

$\sqrt{800} = \sqrt{400 \times 2} = \sqrt{400} \times \sqrt{2} = 20 \sqrt{2}$

d)

$\sqrt{432} = \sqrt{144 \times 3} = \sqrt{144} \times \sqrt{3} = 12 \sqrt{3}$

e)

$\sqrt{500} = \sqrt{100 \times 5} = \sqrt{100} \times \sqrt{5} = 10 \sqrt{5}$

f)

$\sqrt[3]{16} = \sqrt[3]{8 \times 2} = \sqrt[3]{8} \times \sqrt[3]{2} = 2 \sqrt[3]{2}$

g)

$\sqrt{700} = \sqrt{100 \times 7} = \sqrt{100} \times \sqrt{7} = 10 \sqrt{7}$

h)

$\sqrt[5]{224} = \sqrt[5]{32 \times 7} = \sqrt[3]{32} \times \sqrt[3]{7} = 2 \sqrt[3]{7}$