Question

raiz quadrada das frações, me ajudem
por favor
​

Answer 1

Resposta:

g)

$\dfrac{ \sqrt{ {3}^{4} } }{9} = \\ \\ \dfrac{ \sqrt{ {3}^{2} \times {3}^{2} } }{9} = \\ \\ \frac{3 \times 3}{9} = \\ \\ \dfrac{9}{9} = \\ \\ \pink{1}$

h)

$\dfrac{ \sqrt{ {8}^{2} } }{100} = \\ \\ \dfrac{8 \div 4}{100 \div 4} \\ \\ \pink{\dfrac{2}{25} }$

i)

$\dfrac{ \sqrt{ {17}^{2} } }{ {34}^{2} } = \\ \\ \dfrac{17 \div 17}{34 \times 34 \div 17} = \\ \\ \dfrac{1}{34 \times 2} = \\ \\ \pink{ \dfrac{1}{68} }$

j)

$\dfrac{ \sqrt{ {3}^{8} } }{ {3}^{6} } = \\ \\ \dfrac{ \sqrt{ {3}^{2} \times {3}^{2} \times {3}^{2} \times {3}^{2} } }{ {3}^{6} } = \\ \\ \dfrac{3 \times 3 \times 3 \times 3}{ {3}^{6} } \\ \\ \dfrac{ {3}^{4} }{ {3}^{6} } = \\ \\ {3}^{4 - 6} = \\ \\ {3}^{ - 2} = \\ \\ \dfrac{1}{ {3}^{2} } = \\ \\ \pink{\dfrac{1}{9} }$

Bons Estudos!