Question

determine o valor dos elementos desconhecidos ​

Answer 1

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$\tt a)~\sf y^2=4\cdot16\\\sf y=\sqrt{4\cdot16}\\\sf y=2\cdot4=8\checkmark\\\sf x^2=20\cdot4\\\sf x^2=16\cdot5\\\sf x=\sqrt{16\cdot5}\\\sf x=4\sqrt{5}\checkmark\\\sf 20\cdot y=x\cdot z\\\sf 20\cdot8=4\sqrt{5}\cdot z\\\sf z=\dfrac{160}{4\sqrt{5}}\\\sf z=\dfrac{160\sqrt{5}}{4\cdot5}=\dfrac{16\diagup\!\!\!0\sqrt{5}}{2\diagup\!\!\!0}=8\sqrt{5}\checkmark$

$\tt b)~\sf 12\cdot x=6^2\\\sf 12x=36\\\sf x=\dfrac{36}{12}\\\sf x=3\checkmark$