Question

Simplifique cada um dos seguintes radicais, retirando fatores do radicando a) V20 b)3V80 c)4V32 d)4V96 e) V600

Answer 1

$\sqrt{20} = \sqrt{2^2*5} = 2\sqrt{5}$

20/2
10/2
5/5
1

$3\sqrt{80} = 3 \sqrt{2^2*2^2*5} = 3*4 \sqrt{5} = 12 \sqrt{5}$
80/2
40/2
20/2
10/2
5/5
1

$4 \sqrt{32} = 4 \sqrt{2^2*2^2*2} = 4*4 \sqrt{2} = 16 \sqrt{2}$
32/2
16/2
8/2
4/2
2/2
1

$4 \sqrt{2^2*2^2*6} = 4*4 \sqrt{6} = 16\sqrt{6}$
96/2
48/2
24/2
12/2
6/2
3/3
1
$\sqrt{600} = \sqrt{2^2*5^2*6} = 10\sqrt{12}$

600/2
300/2
150/2
75/3
25/5
5/5
1

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