Question

-2 12 years ago

Answer 1

\[\sqrt{x^2-4\sqrt{x^2}+4}+\sqrt{x^2+4\sqrt{x^2}+4} \]

Answer 2

@dan815

Answer 3

perfect sq

Answer 4

\[\sqrt{(\sqrt{x^2}-2)^2}\sqrt{(\sqrt{x^2}+2})^2\]
\[{(\sqrt{x^2}-2)}{(\sqrt{x^2}+2})\]
\[=x^2-4\]

Answer 5

i think it's better to use absolute value
\[\sqrt{x^2-4\left| x \right|+4}+\sqrt{x^2+4\left| x \right|+4}\]
\[\sqrt{(x-2)^2}+\sqrt{(x+2)^2}\]
\[\left| x-2 \right|+\left| x+2 \right|\]
and when -2<x<0 :

2-x+x+2=4

Answer 6

did i solve it correctly?

Answer 7

yep looks good

Answer 8

sry didnt realize it was a question like this at first