\(=\frac{-40\sqrt{3}+30\sqrt{2}}{-4\sqrt{3}+3\sqrt{2}}=10\)
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Các câu hỏi tương tự
1,826-y/\(1,826-\frac{y^2}{\sqrt{12,04}}:\sqrt{18}\cdot\left(\sqrt{15}-\frac{2,3+\frac{5}{3\sqrt{5}}\cdot7}{0,0598\sqrt{15}+\sqrt[3]{6}}\right)=\frac{7}{4}\)
Tinh giá trị biểu thuc \(A=x^2+2016-2017\)
Biết \(x=\frac{\left(27+10\sqrt{2}\right)\sqrt{27-10\sqrt{2}}-\left(27-10\sqrt{2}\right)\sqrt{27+10\sqrt{2}}}{\left(\sqrt{\sqrt{13}-3}+\sqrt{\sqrt{13}+3}\right):\sqrt{\sqrt{13}+3}}\)
Giải phương trình bậc nhất 1 ẩn sau đây:
\(\frac{2+\sqrt{3}}{3-\sqrt{5}}x-\frac{1-\sqrt{6}}{3+\sqrt{2}}\left(x-\frac{3-\sqrt{7}}{4-\sqrt{3}}\right)=\frac{15-\sqrt{11}}{2\sqrt{3}-5}\)
Rút gọn:
\(A=\left(\frac{4x\sqrt{x}+3x+9}{x+5\sqrt{x}+6}-\frac{3-\sqrt{x}}{2+\sqrt{x}}\right)\div\left(\frac{\sqrt{x}}{3+\sqrt{x}}-\frac{3+4\sqrt{x}}{x+5\sqrt{x}+6}\right)\)
\(B=\left(x-\sqrt{x}-2\right)\left(\dfrac{3}{\sqrt{x}-2}-\dfrac{4-\sqrt{x}}{x-2\sqrt{x}}\right)\)
.Làm ngắn các câu sau
a)\(\left(5+2\sqrt{6}\right)\left(49-20\sqrt{6}\right)\sqrt{5-2\sqrt{6}}\)
b) \(\frac{\sqrt{3-\sqrt{5}}.\left(3+\sqrt{5}\right)}{\sqrt{10}+\sqrt{2}}\)
20 tháng 5 2022 lúc 18:48
rút gọn
C=\(\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\left(\sqrt{4-\sqrt{15}}\right)\)
Tìm x để B=3A,biếtA=\(\left(\frac{5+2\sqrt{6}}{\sqrt{3}+\sqrt{2}}+\frac{5-2\sqrt{6}}{\sqrt{3}-\sqrt{2}}\right)\) /\(\left(\frac{1}{2\sqrt{5}+3\sqrt{2}}-\frac{1}{2\sqrt{5}-3\sqrt{2}}\right)\)
B=\(\frac{2x^4-x^3+2x^2+x-4}{2x^3-x^2-2x+1}\)
rút gọn:\(\frac{\sqrt{15}-\sqrt{5}}{\sqrt{3}-4}+\frac{5-2\sqrt{5}}{2\sqrt{5}-4}\)
\(\left(1+\frac{11-\sqrt{11}}{1-\sqrt{11}}\right)\left(\frac{11+\sqrt{11}}{1+\sqrt{11}}+1\right)\)
\(\frac{\sqrt{a^3+2a^2b}+\sqrt{a^4+2a^3b}-\sqrt{a^3}-a^2b}{\sqrt{\left(2a+b-\sqrt{a^2+2ab}\right)}.\left(\sqrt[3]{a^2}-\sqrt[6]{a^5}+a\right)}\)