Question

2 * 2x = √8 * 4√2 * 6√2
x= 11/12.....

Answer 1

Resposta:

$x=24\sqrt{2}$

Explicação passo a passo:

$2\cdot \:2x=\sqrt{8}\cdot \:4\sqrt{2}\cdot \:6\sqrt{2}$

$2\cdot \:2x=\sqrt{2^3}\cdot \:4\sqrt{2}\cdot \:6\sqrt{2}$

$2\cdot \:2x=2^{3\cdot \frac{1}{2}}\cdot \:4\sqrt{2}\cdot \:6\sqrt{2}$

$2\cdot \:2x=2^{\frac{3}{2}}\cdot \:4\sqrt{2}\cdot \:6\sqrt{2}$

$2\cdot \:2x=2^{\frac{3}{2}}\cdot \:2^2\sqrt{2}\cdot \:2\cdot \:3\sqrt{2}$

$2\cdot \:2x=\sqrt{2}\cdot \:2^{\frac{3}{2}+2+1}\cdot \:3\sqrt{2}$

$2\cdot \:2x=3\cdot \:2\cdot \:2^{\frac{3}{2}+2+1}$

$2\cdot \:2x=2^4\cdot \:3\cdot \:2\sqrt{2}$

$2\cdot \:2x=2^4\cdot \:6\sqrt{2}$

$2\cdot \:2x=2\cdot \:3\cdot \:2^4\sqrt{2}$

$2\cdot \:2x=3\cdot \:2^{1+4}\sqrt{2}$

$2\cdot \:2x=3\cdot \:2^5\sqrt{2}$

$2\cdot \:2x=3\cdot \:32\sqrt{2}$

$2\cdot \:2x=96\sqrt{2}$

$x=24\sqrt{2}$