Question

qual o valor da expressão √9/2 : √2/9 ?

Answer 1

3/2: 2/3 ache a raiz quadrada e divida=se
1,5: 1,5
1

Answer 2

Boa tarde Gabriel!

Solução!

$\dfrac{ \sqrt{9} }{ \dfrac{2}{ \dfrac{ \sqrt{2} }{9} } }\\\\\\\ Conserva~~a~~primeira,~~e~~inverte~~a~~segunda.\\\\\\\ \dfrac{ \sqrt{9} }{2} \times \dfrac{9}{ \sqrt{2} }\\\\\\ \dfrac{ 3 }{2} \times \dfrac{9}{ \sqrt{2} }\\\\\\ \dfrac{ 27}{2 \sqrt{2} } \\\\\\ Racionalizando~~o denominador!\\\\\\\ \dfrac{ 27}{2 \sqrt{2} } \times \dfrac{2 \sqrt{2} }{2 \sqrt{2} }\\\\\\\ \dfrac{54 \sqrt{2} }{4. \sqrt{4} }\\\\\\ \dfrac{54 \sqrt{2} }{4. 2 }$

$\dfrac{54 \sqrt{2} }{8 }\\\\\\ \boxed{\dfrac{27 \sqrt{2} }{4 }}$

Boa tarde!
Bons estudos!