Question

Qual a raiz quadrada de 4sobre9?
Qual a raiz quadrada de64 sobre 81?
Qual a raiz quadrada de 25/89?
Qual a raiz quadrada de 121/100?

Answer 1

√4/9 =  2/3

√64/81 = 8/9

√25/81 = 5/9

√121/100 = 11/10

Answer 2

Explicação passo-a-passo:

$\sqrt{ \dfrac{4}{9} }$

$\sqrt{ \dfrac{2 {}^{2} }{3 {}^{2} } }$

$\dfrac{2}{3}$

________________________________

$\sqrt{ \dfrac{64}{81} }$

$\sqrt{ \dfrac{8 {}^{2} }{9 {}^{2} } }$

$\dfrac{8}{9}$

________________________________

$\dfrac{5}{ \sqrt{89} }$

$\dfrac{5}{ \sqrt{89} } \times \dfrac{ \sqrt{89} }{ \sqrt{89} }$

$\dfrac{5 \sqrt{89} }{ \sqrt{89 \times 89} }$

$\dfrac{5 \sqrt{89} }{ \sqrt{7921} }$

$\dfrac{5 \sqrt{89} }{ 89 }$

________________________________

$\sqrt{ \dfrac{121}{100} }$

$\sqrt{ \dfrac{11 {}^{2} }{10 {}^{2} } }$

$\dfrac{11}{10}$