\(\dfrac{5+2\sqrt{5}}{\sqrt{5}+\sqrt{2}}=\dfrac{5\sqrt{5}-5\sqrt{2}+10-2\sqrt{10}}{3}\)

\(\left(\dfrac{6-2}{1-3}-\dfrac{5}{5}\right):\dfrac{1}{5-2}\)

\(=\left(\dfrac{4}{-2}-1\right):\dfrac{1}{3}\)

\(=\left(-2-1\right):\dfrac{1}{3}\)

\(=-3.3\)

\(=-9\)

\(=\left(\dfrac{4}{-2}-1\right):\dfrac{1}{3}\)

=(-3)*3

=-9

\(=\left(4x-5+3x+5\right)^2=\left(7x\right)^2=49x^2\)

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

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

\(=\dfrac{4-4\sqrt{5}+5}{4-5}+\dfrac{5+4\sqrt{5}+4}{5-4}\)

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

\(=8\sqrt{5}\)

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

\(=\dfrac{9-4\sqrt{5}}{-1}+9+4\sqrt{5}\)

=9+4căn 5-9+4căn 5

=8*căn 5

Ta có: \(\dfrac{5+2\sqrt{5}}{\sqrt{5}}-\dfrac{1}{\sqrt{5}-2}\)

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

\(=\sqrt{5}+2-\sqrt{5}-2=0\)

1.
A= \(2\sqrt{6}\) + \(6\sqrt{6}\) - \(8\sqrt{6}\)
A= 0
2.
A= \(12\sqrt{3}\) + \(5\sqrt{3}\) - \(12\sqrt{3}\)
A= 0
3.
A= \(3\sqrt{2}\) - \(10\sqrt{2}\) + \(6\sqrt{2}\)
A= -\(\sqrt{2}\)
4.
A= \(3\sqrt{2}\) + \(4\sqrt{2}\) - \(\sqrt{2}\)
A= \(6\sqrt{2}\)
5.
M= \(2\sqrt{5}\) - \(3\sqrt{5}\) + \(\sqrt{5}\)
M= 0
6.
A= 5 - \(3\sqrt{5}\) + \(3\sqrt{5}\)
A= 5

This literally took me a while, pls sub :D
https://www.youtube.com/channel/UC4U1nfBvbS9y_Uu0UjsAyqA/featured

\(B=\left(3x-1\right)^2-\left(x+7\right)^2-2\left(2x-5\right)\left(2x+5\right)\)

\(=9x^2-6x+1-\left(x^2+14x+49\right)-2\left(4x^2-25\right)\)

\(=9x^2-6x+1-x^2-14x-49-8x^2+50\)

\(=-20x+2\)

Thay x=1/5 vào B, ta được:

\(B=-20\cdot\dfrac{1}{5}+2=-4+2=-2\)

A = 2 ( 3 + 5 ) 2 2 + 3 + 5 + 2 ( 3 − 5 ) 2 2 − 3 − 5 2 3 + 5 4 + ( 5 + 1 ) 2 + 3 − 5 4 − ( 5 − 1 ) 2 = 2 3 + 5 5 + 5 + 3 − 5 5 − 5 2 ( 3 + 5 ) ( 5 − 5 ) + ( 3 − 5 ) ( 5 + 5 ) ( 5 + 5 ) ( 5 − 5 ) = 2 15 − 3 5 + 5 5 − 5 + 15 + 3 5 − 5 5 − 5 25 − 5 = 2. 20 20 = 2 V ậ y   A = 2

\(=\left(x+5+2x+5\right)^2=\left(3x+10\right)^2\)