Question

Simplifique e resolva:
a)√243/√81=
b)√12x√6/√2=
c)√5x√10x√2/√4=

Answer 1

Explicação passo-a-passo:

a)

$\frac{ \sqrt{243 } }{ \sqrt{81} ?} = \sqrt{ \frac{243}{81?} } = \sqrt{3}$

b)

$\frac{ \sqrt{12} \times \sqrt{6} }{{ \sqrt{2} } } = \frac{ \sqrt{12 \times 6} }{ \sqrt{2} } = \frac{ \sqrt{72} }{ \sqrt{2} } = \sqrt{ \frac{72}{2} } = \sqrt{36} = 6$

c)

$\frac{ \sqrt{5 } \times \sqrt{10} \times \sqrt{2} }{ \sqrt{4} } = \frac{ \sqrt{5 \times 10 \times 2} }{ \sqrt{4} } = \frac{ \sqrt{100} }{ \sqrt{4} } = \sqrt{ \frac{100}{4} } = \sqrt{25} = 5 \: certo$