Question

Tính giá trị của biểu thức:

a). \(2\sqrt{3}-\sqrt{27}+\sqrt{75}\)

b). \(\sqrt{\left(1-\sqrt{3}\right)^2}+\sqrt{4+2\sqrt{3}}\)

Answer 1

a, \(2\sqrt{3}-\sqrt{27}+\sqrt{75}=6,92820323\)

Answer 2

a) \(2\sqrt{3}-\sqrt{27}+\sqrt{75}\)

\(=2\sqrt{3}-3\sqrt{3}+5\sqrt{3}\)

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

\(=4\sqrt{3}\)

b)\(\sqrt{\left(1-\sqrt{3}\right)^2}+\sqrt{4+2\sqrt{3}}\)

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

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

\(=2\)

Answer 3

a,\(2\sqrt{3}-\sqrt{27}+\sqrt{75}\)

\(=2\sqrt{3}-3\sqrt{3}+5\sqrt{3}\)

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

\(=4\sqrt{3}\)

Answer 4

b,\(\sqrt{\left(1-\sqrt{3}^2\right)+\sqrt{4+2\sqrt{3}}}\)

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

Answer 5

a) 6.92820323

b)3,464101615

Answer 6

a) \(2\sqrt{3}-\sqrt{27}+\sqrt{75}\)

\(=2\sqrt{3}-3\sqrt{3}+5\sqrt{3}\)

\(=4\sqrt{3}\)

b) \(\sqrt{\left(1-\sqrt{3}\right)^2}+\sqrt{4+2\sqrt{3}}\)

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

\(=-1+1+\sqrt{3^2}\)

\(=-1+1+2\sqrt{3}\)

\(=2\sqrt{3}\)

Answer 7

ai h minh minh h lai cho