Question

Rút gọn biểu thức:

`a)A=-3\sqrt{12}+\sqrt{75}+\sqrt{(1-\sqrt{3})^2`

Answer 1

\(A=-3\sqrt{3\cdot2^2}+\sqrt{3\cdot5^2}+\left|1-\sqrt{3}\right|=-6\sqrt{3}+5\sqrt{3}+1-\sqrt{3}=-2\sqrt{3}+1\)

Answer 2

`a)A=-3\sqrt{12}+\sqrt{75}+\sqrt{(1-\sqrt{3})^2`

\(=-3.\left(2\sqrt{3}\right)+5\sqrt{3}+\left|1-\sqrt{3}\right|\)

\(=-6\sqrt{3}+5\sqrt{3}+\left(\sqrt{3-1}\right)\left(vì.\sqrt{3>1}\right)\)

\(=-1\)

Answer 3

\(A=-3\sqrt{12}+\sqrt{75}+\sqrt{\left(1-\sqrt{3}\right)^2}\\ =-3\sqrt{4.3}+\sqrt{25.3}+\left|1-\sqrt{3}\right|\\ =-6\sqrt{3}+5\sqrt{3}+\sqrt{3}-1\\ =-1\)