Question

Sabendo que √2 + x = 4√2 e √3 . y = 5√6 , calcule o valor de x + y.

Answer 1

$\sqrt{2}+x=4 \sqrt{2}\rightarrow x=4 \sqrt{2}- \sqrt{2}\rightarrow x=3 \sqrt{2} \\ \\ \sqrt{3}.y=5 \sqrt{6}\rightarrow y=\frac{5 \sqrt{6} }{ \sqrt{3} }=5 \sqrt{2}\\ \\ x+y=3 \sqrt{2}+5 \sqrt{2}=8 \sqrt{2}$

Answer 2

1° equação

$\sqrt{2}+x=4 \sqrt{2} \\x=4 \sqrt{2} - \sqrt{2} \\x=3 \sqrt{2}$

2° equação

$\sqrt{3} .y=5 \sqrt{6} \\ \\y= \frac{5 \sqrt{6} }{ \sqrt{3} } \\ \\y= \frac{5 \sqrt{18} }{3}$

$y= \frac{5 \sqrt{9.2} }{3} \\ \\y= \frac{5 \sqrt{3^2.2} }{3} \\ \\y= \frac{15 \sqrt{2} }{3}$

$y=5 \sqrt{2}$


Calculando o valor de x+y

$x+y\\3 \sqrt{2}+5 \sqrt{2} \\8 \sqrt{2}$