Question

calcule o valor de a
$\sqrt{45a} \times \sqrt{2} = 15 \sqrt[6]{8}$
​

Answer 1

Resposta:

5

Explicação passo a passo:

$\sqrt{45a} \times \sqrt{2} = 15 \sqrt[6]{8} \\ \\ \sqrt{90a} = 15 \sqrt[6]{8} \\ \\ 90a = ( 15.{ \sqrt[6]{8} })^{2} \\ \\ 90a = 225.( \sqrt[6]{ {8}^{2} } ) \\ \\ 90a = 225.( \sqrt[6]{64} ) \\ \\ 90a = 225.( \sqrt[6]{ {2}^{6} } ) \\ \\ 90a = 225.(2) \\ \\ 90a = 450 \\ \\ a = \frac{450}{90} \\ \\ a = 5$