\(=\left(5\sqrt{2}-\sqrt{5}\right)\left(3\sqrt{2}-2\sqrt{5}+2\sqrt{2}\right)\)
\(=\left(5\sqrt{2}-\sqrt{5}\right)\left(5\sqrt{2}-2\sqrt{5}\right)\)
\(=60-15\sqrt{10}\)
1.thực hiện phép tính: \(\left(3\sqrt{8}-\sqrt{18}+5\sqrt{\dfrac{1}{2}}+\sqrt{50}\right).3\sqrt{2}\)
2.giải pt:\(\sqrt{4x^2-4x+1}-5=2\)
Thực hiện phép tính:
A=\(\left(\sqrt{2}+\sqrt{3}+\sqrt{5}\right).\left(\sqrt{2}+\sqrt{3}-\sqrt{5}\right).\left(\sqrt{2}-\sqrt{3}+\sqrt{5}\right).\left(-\sqrt{2}+\sqrt{3}+\sqrt{5}\right)\)
B=\(\sqrt{8-2\sqrt{15}}-\sqrt{23-4\sqrt{5}}\)
C=\(\left(\sqrt{3}-\sqrt{2}\right).\sqrt{5-2\sqrt{6}}\)
D=\(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
thực hiện phép tính
\(\left(\dfrac{15}{\sqrt{6}+1}+\dfrac{4}{\sqrt{16}-2}-\dfrac{12}{3-\sqrt{16}}\right).\left(\sqrt{6}+11\right)\)
I : Rút gọn
\(M=\left(4+\sqrt{5}\right)\left(\sqrt{5}-\sqrt{3}\right)\sqrt{8-2\sqrt{5}}\)
help me !!!
1. thực hiện phép tính
a, A=\(2\sqrt{3}-\sqrt{12}-\sqrt{9}\)
b,B=\(\sqrt{3}\left(\sqrt{12}+\sqrt{27}\right)\)
Thực hiện phép tính
\(\left(\sqrt{20}+\sqrt{3}-\sqrt{5}\right)\left(\sqrt{5}-\frac{1}{2}\sqrt{12}\right)\)
1)tính
a)\(\left(\dfrac{1}{5}\sqrt{500}-3\sqrt{45}+5\sqrt{20}\right):\sqrt{5}\)
b)\(\left(\dfrac{\sqrt{3}+1}{\sqrt{3}-1}-\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\right).\sqrt{\dfrac{1}{48}}\)
c)\(\left(\dfrac{2\sqrt{3}+3}{\sqrt{3}+2}+\dfrac{2\sqrt{2}}{\sqrt{2}+1}\right):\left(\sqrt{12}+\sqrt{18}\right)\)
Thực hiện phép tính :
a, \(\left(\sqrt{15}+2\sqrt{3}\right)^2+12\sqrt{5}\)
b, \(\left(\sqrt{6}+2\right)\left(\sqrt{3}-\sqrt{2}\right)\)
c, \(\left(1+\sqrt{2}-\sqrt{3}\right)\left(1+\sqrt{2}+3\right)\)
d,
I. Thực hiện phép tính
a. \(\left(\dfrac{2+\sqrt{5}}{2-\sqrt{5}}-\dfrac{2-\sqrt{5}}{2+\sqrt{5}}\right)\cdot\dfrac{\sqrt{2}}{23}\)
b. \(\sqrt{\left(5-2\sqrt{6}\right)\left(4-2\sqrt{3}\right)}\)