Question

3) Simplifique os radicais a seguir:
a) √(25ax^2)
b) √(27y^4 )
c) ∛(54a^5 )
d) 2/3 ∛((81a^4)/(64b^6 ))
e) 1,2 √(125/8)

Answer 1

Resposta:

Explicação passo-a-passo:

.

Simplificar:

a)..= 5x.√a

b)..= 3y² . √3

c)..= 3a . ³√2a²

d)..= 2/3 . 3a/4b² .³√3a = a/2b² . ³√3a

e)..= 1,2 . 5/2 . √5/2 = 3.√5/2

.

(Espero ter colaborado)

Answer 2

Oie, Td Bom?!

a)

$\sqrt{25ax {}^{2} } \\ \sqrt{5 {}^{2}ax {}^{2} } \\ \sqrt{5 {}^{2} } \sqrt{x {}^{2} } \sqrt{a} \\ 5x \sqrt{a}$

b)

$\sqrt{27y {}^{4} } \\ \sqrt{3 {}^{2} \: . \: 3y {}^{4} } \\ \sqrt{3 {}^{2} } \sqrt{y {}^{4} } \sqrt{3} \\ 3y {}^{2} \sqrt{3} \\ 3 \sqrt{3} y {}^{2}$

c)

$\sqrt[3]{54a {}^{4} } \\ \sqrt[3]{3 {}^{3} \: . \: 2a {}^{5} } \\ \sqrt[3]{3 {}^{3} \: . \:2a {}^{3} \: . \: a {}^{2} } \\ \sqrt[3]{3 {}^{3} } \sqrt[3]{a {}^{3} } \sqrt[3]{2a {}^{2} } \\ 3a \sqrt[3]{2a {}^{2} }$

d)

$\frac{2}{3} \: . \: \sqrt[3]{ \frac{81a {}^{4} }{64b {}^{6} } } \\ \\ \frac{2}{3} \: . \: \frac{ \sqrt[3]{81a {}^{4} } }{4b {}^{2} } \\ \\ \frac{1}{3} \: . \: \frac{ \sqrt[3]{81a {}^{4} } }{2b {}^{2} } \\ \\ \frac{1}{3} \: . \: \frac{3a \sqrt[3]{3a} }{2b {}^{2} } \\ \\ \frac{a \sqrt[3]{3a} }{2b {}^{2} }$

e)

$1,2 \sqrt{ \frac{125}{8} } \\ \\ \frac{6}{5} \: . \: \frac{ \sqrt{125} }{ \sqrt{8} } \\ \\ \frac{6}{5} \: . \: \frac{5 \sqrt{5} }{2 \sqrt{2} } \\ \\ 6 \: . \: \frac{ \sqrt{5} }{2 \sqrt{2} } \\ \\ 3 \: . \: \frac{ \sqrt{5} }{ \sqrt{2} } \\ \\ \frac{3 \sqrt{5} }{ \sqrt{2} }$

Att. Makaveli1996