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Which choice is equivalent to the product below?

[tex] \sqrt{\frac{3}{16}} *\sqrt{\frac{3}{9}} [/tex]

a. 1/2
b. 6/12
c. 3/4
d. 3/12
e. 7/12

Respuesta :

[tex]\bf \sqrt{\cfrac{3}{16}}\cdot \sqrt{\cfrac{3}{9}}\implies \cfrac{\sqrt{3}}{\sqrt{16}}\cdot \cfrac{\sqrt{3}}{\sqrt{9}}\implies \cfrac{\sqrt{3}}{4}\cdot \cfrac{\sqrt{3}}{3}\implies \cfrac{\sqrt{3}\cdot \sqrt{3}}{4\cdot 3} \\\\\\ \cfrac{(\sqrt{3})^2}{12}\implies \boxed{\cfrac{3}{12}}\implies \stackrel{simplified}{\cfrac{1}{4}}[/tex]

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