\(\sqrt{10}A=\sqrt{10}\left(\sqrt{0,1}+\sqrt{0,9}+\sqrt{6,4}+\sqrt{0,4}+\sqrt{44,1}\right)\)
\(=\sqrt{1}+\sqrt{9}+\sqrt{64}+\sqrt{4}+\sqrt{441}\)
\(=1+3+8+2+21=35\)
\(\Rightarrow A=\frac{35}{\sqrt{10}}\)
\(\sqrt{10}A=\sqrt{10}\left(\sqrt{0,1}+\sqrt{0,9}+\sqrt{6,4}+\sqrt{0,4}+\sqrt{44,1}\right)\)
\(=\sqrt{1}+\sqrt{9}+\sqrt{64}+\sqrt{4}+\sqrt{441}\)
\(=1+3+8+2+21=35\)
\(\Rightarrow A=\frac{35}{\sqrt{10}}\)
Tính
\(\sqrt{0,4}\cdot\sqrt{6,4}-\sqrt{2,7}\cdot\sqrt{5}\cdot\sqrt{1,5}\)
Bài 1 : Thực hiện phép tính
a) \(\sqrt{4,9.1350.0,6}\)
b) \(\sqrt{12,5}.\sqrt{0,2}.\sqrt{0,1}\)
c)\(\sqrt{\frac{484}{169}}\)
d) \(\frac{\sqrt{2}}{\sqrt{288}}\)
e) \(\frac{\sqrt{2^5}}{\sqrt{2^3}}\)
ai giải đc cho 3 like
\(f\left(x\right)=1,32x^2+\frac{3,1-2\sqrt{5}}{\sqrt{6,4}-7,2}x+7,8-3\sqrt{2}\)
a) Tính \(f\left(5-3\sqrt{2}\right)\)
b)với giá trị nào của x thì f(x) đạt giá trị nhỏ nhất ?
Tìm GINN đó
Rút gọn:
a) \(\sqrt{5\sqrt{3}+5\sqrt{48-10\sqrt{7+\sqrt{48}}}}\)
b) \(\dfrac{\sqrt{3}-\sqrt{5+\sqrt{24}}+\sqrt{\sqrt{72}+11}}{\sqrt{6+\sqrt{20}}+\sqrt{2}-\sqrt{7+\sqrt{40}}}\)
Đề bài: A= \(\left(\dfrac{\sqrt{a}+1}{\sqrt{a}-1}-\dfrac{\sqrt{a}-1}{\sqrt{a}+1}+4\sqrt{a}\right)\left(\sqrt{a}-\dfrac{1}{\sqrt{a}}\right)\)
Tìm a để \(\sqrt{A}>A\)
Cảm ơn !!!
1.Rút gọn:
a) \(A=\sqrt{2+\sqrt{3}.}\sqrt{2+\sqrt{2+\sqrt{3}}}.\sqrt{2-\sqrt{2+\sqrt{3}}}\)
b) \(B=\left(\frac{\sqrt{x}}{\sqrt{xy}-y}-\frac{\sqrt{y}}{\sqrt{xy}-x}\right).\left(x\sqrt{y}-y\sqrt{x}\right)\)
c) \(C=\sqrt{\left(3-\sqrt{5}\right)^2+\sqrt{6}-2\sqrt{5}}\)
Rút gọn:
\(A=\frac{x^2+\sqrt{b}}{x-\sqrt{x}+1}+1-\frac{2x+\sqrt{x}}{\sqrt{x}}\)
\(B=\frac{\sqrt{a}}{\sqrt{a}-\sqrt{b}}-\frac{\sqrt{a}}{\sqrt{a}+\sqrt{b}}-\frac{2b}{a-b}\)
\(\sqrt{a}.\sqrt{a}-\sqrt{b}.\sqrt{b}-\sqrt{c}.\sqrt{c}=\)
Rút gọn biểu thức sau
a)\(\sqrt{3-\sqrt{5}}\left(\sqrt{10}-\sqrt{2}\right)\left(3+\sqrt{5}\right)\)
b)\(\sqrt{2+\sqrt{3}}\sqrt{2+\sqrt{2+\sqrt{3}}.\sqrt{2}}-\sqrt{2+\sqrt{2}}\)