a, \(=\left|\sqrt{3}-2\right|\left|2+\sqrt{3}\right|=\left(2-\sqrt{3}\right)\left(2+\sqrt{3}\right)=4-3=1\)
b, \(=\left|\sqrt{3}-2\right|.\left|9+\sqrt{3}\right|=\left(2-\sqrt{3}\right)\left(2+\sqrt{3}\right)+7\left(2-\sqrt{3}\right)\)
\(=1+14-7\sqrt{3}=15-7\sqrt{3}\)
Tính:
\(A=2\sqrt{\left(-3\right)^6}+2\sqrt{\left(-2\right)^4}-4\sqrt{\left(-2\right)^6}\)
\(B=\sqrt{\left(\sqrt{2}-2\right)^2}+\sqrt{\left(\sqrt{2}-3\right)^2}\)
\(C=\sqrt{\left(3-\sqrt{3}\right)^2}-\sqrt{\left(1+\sqrt{3}\right)^2}\)
\(D=\sqrt{\left(5+\sqrt{6}\right)^2}-\sqrt{\left(\sqrt{6}-5\right)^2}\)
\(E=\sqrt{17^2-8^2}-\sqrt{3^2+4^2}\)
Tính:
\(A=\sqrt{27}-2\sqrt{48}+3\sqrt{75}\)
\(B=\sqrt{\left(\sqrt{5}-2\right)^2}-\sqrt{\left(\sqrt{5}-3\right)^2}\)
\(C=\sqrt{\left(2\sqrt{3}+1\right)^2}+\sqrt{\left(2\sqrt{3}-5\right)^2}\)
\(D=\sqrt{9-4\sqrt{5}}-\sqrt{14+6\sqrt{5}}\)
\(E=\dfrac{4}{\sqrt{5}-2}-\dfrac{32}{\sqrt{5}+1}\)
\(M=\dfrac{10}{3\sqrt{2}-4}+\dfrac{28}{3\sqrt{2}+2}\)
please help ;-;
Tính giá trị các biểu thức
A = \(\sqrt{\left(5-\sqrt{3}\right)^2}+\sqrt{\left(2-\sqrt{3}\right)^2}\)
B = \(\sqrt{\left(3-\sqrt{2}\right)^2}-\sqrt{\left(1-\sqrt{2}\right)^2}\)
C = \(\sqrt{\left(3+\sqrt{7}\right)^2}-\sqrt{\left(2-\sqrt{7}\right)^2}\)
D = \(\sqrt{4-2\sqrt{3}}+\sqrt{7+4\sqrt{3}}\)
Tính:
\(A=\sqrt{20}-10\sqrt{\dfrac{1}{5}}+\sqrt{\left(\sqrt{5}-1\right)^2}\)
\(B=2\sqrt{32}+5\sqrt{8}-4\sqrt{32}\)
\(C=\sqrt{\left(3-\sqrt{2}^2\right)}-\sqrt{\left(1-\sqrt{2}\right)^2}\)
\(D=\sqrt{\left(5-1\right)^2}+\sqrt{\left(\sqrt{5}-3\right)^2}\)
\(E=\left(3+\dfrac{5-\sqrt{5}}{\sqrt{5}-1}\right)\left(3-\dfrac{5+\sqrt{5}}{\sqrt{5}-1}\right)\)
\(F=\sqrt{6+2\sqrt{5}}-\sqrt{9-4\sqrt{5}}\)
\(G=\dfrac{3\sqrt{2}-2\sqrt{3}}{\sqrt{3}-\sqrt{2}}+\dfrac{\sqrt{15}-\sqrt{5}}{\sqrt{3}-1}\)
\(H=\dfrac{10}{\sqrt{3}-1}-\dfrac{55}{2\sqrt{3}+1}\)
help
tính
a)\(\sqrt{25}+\sqrt{9}-\sqrt{16}\)
b)\(\sqrt{0,16}+\sqrt{0,01}+\sqrt{0,25}\)
c)\(\left(\sqrt{3^2}\right)-\left(\sqrt{2^2}\right)+\left(\sqrt{5^2}\right)\) d)\(\sqrt{4}-\left(-\sqrt{3}\right)^2+\sqrt{49}\) e)\(\left(2\sqrt{2}\right)^2-\left(3\sqrt{3}\right)^2\)
f)\(\left(-2\sqrt{3}\right)^2+\left(-3\sqrt{2}\right)^2\)
a) \(\sqrt{3^2}-\sqrt{\left(7\right)^2}+\sqrt{\left(-1\right)^2}\)
b)\(-2\sqrt{\left(-2\right)^2}+\sqrt{\left(-5\right)^2}+\sqrt{3^2}\)
c)\(\sqrt{\left(2-\sqrt{2}\right)^2}+\sqrt{\left(2+\sqrt{2}\right)^2}\)
d)\(\sqrt{\left(3\sqrt{2}\right)^2}-\sqrt{\left(1-\sqrt{2}\right)^2}\)
e)\(\sqrt{3-2\sqrt{2}}+\sqrt{3+2\sqrt{2}}\)
f)\(\sqrt{9-4\sqrt{5}}+\sqrt{9+4\sqrt{5}}\)
g)\(\sqrt{9-4\sqrt{2}}+\sqrt{11-6\sqrt{2}}\)
h)\(\sqrt{12+8\sqrt{2}}+\sqrt{6-4\sqrt{2}}\)
k)\(\left(2-\sqrt{3}\right)\sqrt{7+4\sqrt{3}}\)
Tính
A = \(\sqrt{\left(2-\sqrt{3}\right)^2}+\sqrt{\left(1+\sqrt{3}\right)^2}\)
B = \(\sqrt{\left(4-\sqrt{5}\right)^2}-\sqrt{\left(2-\sqrt{5}\right)^2}\)
C = \(\sqrt{\left(1-\sqrt{5}\right)^2}-\sqrt{\left(2-\sqrt{5}\right)^2}\)
Thực hiện phép tính:
a) \(\sqrt{\left(3-2\sqrt{2}\right)^2}+\sqrt{\left(3+2\sqrt{2}\right)^2}\) b) \(\sqrt{\left(5-2\sqrt{6}\right)^2}-\sqrt{\left(5+2\sqrt{6}\right)^2}\)
c) \(\sqrt{\left(2-\sqrt{3}\right)^2}+\sqrt{\left(1-\sqrt{3}\right)^2}\) d) \(\sqrt{\left(3+\sqrt{2}\right)^2}-\sqrt{\left(1-\sqrt{2}\right)^2}\)
e) \(\sqrt{\left(\sqrt{5-\sqrt{2}}\right)^2}+\sqrt{\left(\sqrt{5+\sqrt{2}}\right)^2}\) f) \(\sqrt{\left(\sqrt{2+1}\right)^2-\sqrt{\left(\sqrt{2-5}\right)^2}}\)
F = \(\sqrt{\left(3-\sqrt{2}\right)^2}+\sqrt{\left(1-\sqrt{2}\right)^2}\)
G = \(\sqrt{\left(5+\sqrt{7}\right)^2}-\sqrt{\left(2-\sqrt{7}\right)^2}\)
H = \(\sqrt{\left(3-\sqrt{10}\right)^2}+\sqrt{\left(2-\sqrt{10}\right)^2}\)
