\(\sqrt{29+12\sqrt{5}}+\sqrt{29-12\sqrt{5}}\)

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

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

\(=2\sqrt{5}+3+2\sqrt{5}-3=4\sqrt{5}\)

\(\sqrt{29+12\sqrt{5}}+\sqrt{29-12\sqrt{5}}\)

\(\sqrt{29+2.2\sqrt{5}.3}+\sqrt{29-2.2\sqrt{5}.3}\)

\(\sqrt{\left(2\sqrt{5}\right)^2+2.2\sqrt{5}.3+3^2}+\sqrt{\left(2\sqrt{5}\right)-2.2\sqrt{5}.3+3^2}\)

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

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

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

\(4\sqrt{5}\)

giúp mình với ạ !

Tính từ máy tính casio fx 570 es plus hoặc fx 570 vn plus

Ta thu đc kết quả:

A>B

\(\left(1-\frac{5+\sqrt{5}}{1+\sqrt{5}}\right)\left(\frac{5-\sqrt{5}}{1-\sqrt{5}}-1\right)\)

\(=\left[1-\frac{\sqrt{5}\left(\sqrt{5}+1\right)}{1+\sqrt{5}}\right]\left[\frac{\sqrt{5}\left(\sqrt{5}-1\right)}{1-\sqrt{5}}-1\right]\)

\(=\left(1-\sqrt{5}\right)\left(-\sqrt{5}-1\right)=-\left(1-\sqrt{5}\right)\left(1+\sqrt{5}\right)=4\)

=4

6: \(=3\cdot2\sqrt{3}-4\cdot3\sqrt{3}+5\cdot4\sqrt{3}=14\sqrt{3}\)

7: \(=2\sqrt{3}+5\sqrt{3}-4\sqrt{3}=3\sqrt{3}\)

8: \(=2\cdot4\sqrt{2}+4\cdot2\sqrt{2}-5\cdot3\sqrt{2}=\sqrt{2}\)

9: \(=3\cdot2\sqrt{5}-2\cdot3\sqrt{5}+4\sqrt{5}=4\sqrt{5}\)

10: \(=2\cdot2\sqrt{6}-2\cdot3\sqrt{6}+3\sqrt{6}-5\sqrt{6}=-4\sqrt{6}\)