\(A=\sqrt{8-2\sqrt{15}}-\sqrt{8+2\sqrt{15}}\)
\(A=\sqrt{8-2\sqrt{7.8}+7}-\sqrt{8+2\sqrt{7.8}+7}\)
\(A=\sqrt{\left(\sqrt{8}-\sqrt{7}\right)^2}-\sqrt{\left(\sqrt{8}+\sqrt{7}\right)^2}\)
\(A=\sqrt{8}-\sqrt{7}-\sqrt{8}-\sqrt{7}\)
\(A=-2\sqrt{7}\)
rút gọn B
B=\(\sqrt{8+2\sqrt{15}-2\sqrt{5}-2\sqrt{3}}\)-\(\sqrt{8-2\sqrt{15}-2\sqrt{5}+2\sqrt{3}}\)
Rút gọn \(A=\left(\sqrt{6+\sqrt{20}}-2\sqrt{3-\sqrt{5}}+\sqrt{15-10\sqrt{2}}\right):\left(2+\sqrt{8}\right)\)
Tính
\(A=\sqrt{20}-3\sqrt{8}+5\sqrt{45}\)
\(B=\dfrac{30}{\sqrt{7}-1}+\dfrac{15}{\sqrt{7}+2}\)
\(C=\left(3-\dfrac{5-\sqrt{5}}{\sqrt{5}-1}\right)\left(3+\dfrac{5+\sqrt{5}}{\sqrt{5}+1}\right)\)
\(D=\sqrt{\left(3-\sqrt{2}\right)^2}-\sqrt{\left(1-\sqrt{2}\right)^2}\)
\(E=\sqrt{7-4\sqrt{3}}-\sqrt{3+2\sqrt{3}}\)
\(A=\dfrac{1}{\sqrt{8}+\sqrt{7}}+\sqrt{175}+2\sqrt{2}\\ B=\left(5+2\sqrt{6}\right)\cdot\left(49-20\sqrt{6}\right)\cdot\sqrt{5-2\sqrt{6}}\)
\(C=\dfrac{1}{2}\left(\sqrt{6}+\sqrt{5}\right)^2-\dfrac{1}{4}\sqrt{120}-\sqrt{\dfrac{15}{2}}\)
\(D=\left(2\sqrt{6}-4\sqrt{3}+5\sqrt{2}+\dfrac{1}{4}\sqrt{8}\right)\cdot3\sqrt{6}\)
Thu gọn các biểu thức
\(A=\dfrac{2\left(\sqrt{2}+\sqrt{6}\right)}{3\sqrt{2+\sqrt{3}}}\)
\(B=\sqrt{8-2\sqrt{15}}-\sqrt{\left(3-3\sqrt{5}\right)^2}\)
\(C=2\sqrt{8\sqrt{3}}-2\sqrt{5\sqrt{3}}-3\sqrt{20-\sqrt{3}}\)
1. Phân tích ra thừa số
a.\(\sqrt{ab}-\sqrt{ac}+\sqrt{bc}+b\)
b.x-y-3(\(\sqrt{x}-\sqrt{y}\))
c. \(\sqrt{x^2-y^2}\)-x+y
2. GPT
a.\(\sqrt{\sqrt{5}-\sqrt{3}x}\)=\(\sqrt{8+2\sqrt{15}}\)
b.\(\sqrt{2+\sqrt{3+\sqrt{x}}}=3\)
Tính giá trị các biểu thức:
a.\(\left(7\sqrt{48}+3\sqrt{27}-2\sqrt{12}\right)\sqrt{3}\)
b.\(\left(12\sqrt{50}-8\sqrt{200}+7\sqrt{450}\right):\sqrt{10}\)
c.\(\left(2\sqrt{6}-4\sqrt{3}+5\sqrt{2}-\dfrac{1}{4}\sqrt{8}\right)3\sqrt{6}\)
d.\(3\sqrt{15\sqrt{50}}+5\sqrt{24\sqrt{8}}-4\sqrt{12\sqrt{32}}\)
\(\sqrt{4+2\sqrt{3}}\) + \(\sqrt{4-2\sqrt{3}}\) — \(\dfrac{5}{\sqrt{3}-2\sqrt{2}}\) -\(\dfrac{+5}{\sqrt{3}+\sqrt{8}}\)
b)\(\sqrt{5+2\sqrt{6}}\) - \(\sqrt{8-2\sqrt{15}}\)
Giúp mình với!mai nộp r!cảm ơn mn trc nhé!!!!
(các bạn làm đầy đủ bước nhá)
32, \(\sqrt{15-6\sqrt{6}}+\sqrt{33-12\sqrt{6}}\)
33, \(\sqrt{6-2\sqrt{5}}+\sqrt{6+2\sqrt{5}}\)
34, \(\sqrt{8-2\sqrt{15}}-\sqrt{23-4\sqrt{15}}\)
35,\(\sqrt{31-8\sqrt{15}}+\sqrt{24-6\sqrt{15}}\)
36, \(\sqrt{49-5\sqrt{96}}-\sqrt{49+5\sqrt{96}}\)
37, \(\sqrt{3+2\sqrt{2}}+\sqrt{5-2\sqrt{6}}\)