Question

Fatore as raizes quando possível:
A) √75
B) 3√108
C) √1200
D) 4√512​

Answer 1

A) √75

√5² × 3

5√3

B) 3√108

3 × 6√3

18√3

C) √1200

√2² × 2² × 5² × 3

(2 × 2 × 5)√3

20√3

D) 4√512

4 × 16√2

64√2

Answer 2

꧁Hello, how are you?꧂

$a) \: \: \sqrt{75} \\ \ \\ \ \sqrt{5 {}^{2} \times 3} \\ \\ \sqrt{5 {}^{2} } \sqrt{3} \\ \\ 5 \sqrt{3}$

$b) \: \: 3 \sqrt{108} \\ \\ 3 \sqrt{6 {}^{2} \times 3} \\ \\ 3 \sqrt{6 {}^{2} } \sqrt{3} \\ \\ 3 \times 6 \sqrt{3} \\ \\ 18 \sqrt{3}$

$c) \: \: \sqrt{1200} \\ \\ \sqrt{20 {}^{2} } \times 3 \\ \\ \sqrt{20 {}^{2} } \sqrt{3} \\ \\ 20 \sqrt{3}$

$d) \: \: 4 \sqrt{512} \\ \\ 2 {}^{2} \sqrt{512} \\ \\ 2 {}^{2} \times 2 {}^{4} \sqrt{2} \\ \\ 2 {}^{6} \sqrt{2} \\ \\ 64 \sqrt{2}$

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Signed: Lohany Queen of hell 彡★

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