Question

a) \(\sqrt{\left(5-\sqrt{3}\right)^2}\)
b) \(\sqrt{\left(\sqrt{3}-2\right)^2}\)

Answer 1

\(a,=\left|5-\sqrt{3}\right|=5-\sqrt{3}\)

\(b,=\left|\sqrt{3}-2\right|=2-\sqrt{3}\)
 

Answer 2

\(\sqrt{\left(5-\sqrt{3}\right)^2}=\left|5-\sqrt{3}\right|=5-\sqrt{3}\)

\(\sqrt{\left(\sqrt{3}-2\right)^2}=\left|\sqrt{3}-2\right|=2-\sqrt{3}\)

Answer 3

a) `\sqrt((5-\sqrt3)^2) = |5-\sqrt3|=5-\sqrt3` (Vì `5>\sqrt3`)

b) `\sqrt((\sqrt3-2)^2) = |\sqrt3-2| = -\sqrt3+2` (Vì `\sqrt3<2`)