Question

\(\sqrt{\left(7-\sqrt{3}\right)}^2+\sqrt{\left(\sqrt{3}-1\right)^2}\)

Rút rọn

Answer 1

\(\sqrt{\left(7-\sqrt{3}\right)^2}+\sqrt{\left(\sqrt{3}-1\right)^2}\)

\(=\left|7-\sqrt{3}\right|+\left|\sqrt{3}-1\right|\)

\(=7-\sqrt{3}+\sqrt{3}-1\)

\(=7-1=6\)

Answer 2

\(=7-\sqrt{3}+\sqrt{3}-1=6\)

Answer 3

\(=\left|7-\sqrt{3}\right|+\left|\sqrt{3}-1\right|\\ =7-\sqrt{3}+\sqrt{3}-1\\ =6\)