Đề yêu cầu gì thế em?
\(3x^2y\sqrt{\dfrac{12}{xy}}\)
\(=3x^2y\dfrac{\sqrt{12}}{\sqrt{xy}}\)
\(=3x^2y\dfrac{\sqrt{2^2\cdot3}}{\sqrt{xy}}\)
\(=3x^2y\dfrac{2\sqrt{3}}{\sqrt{xy}}\)
\(=3x^2y\cdot2\sqrt{\dfrac{3}{xy}}\)
\(=6x^2y\sqrt{\dfrac{3}{xy}}\)
Đề yêu cầu gì thế em?
\(3x^2y\sqrt{\dfrac{12}{xy}}\)
\(=3x^2y\dfrac{\sqrt{12}}{\sqrt{xy}}\)
\(=3x^2y\dfrac{\sqrt{2^2\cdot3}}{\sqrt{xy}}\)
\(=3x^2y\dfrac{2\sqrt{3}}{\sqrt{xy}}\)
\(=3x^2y\cdot2\sqrt{\dfrac{3}{xy}}\)
\(=6x^2y\sqrt{\dfrac{3}{xy}}\)
Phân tích thành nhân tử:
a) a - 5√a
b) a - 7 với a > 0
c) a + 4√a + 4
d) √xy - 4√x + 3√y - 12
b4: phân tích thành nhân tử :
a, \(a-5\sqrt{a}\) với a > 0
b, \(a-7\) với a > 0
c, \(a+4\sqrt{a}+4\)
d, \(\sqrt{xy}-4\sqrt{x}+3\sqrt{y}-12\)
\(\left(\sqrt{xy}+2\sqrt{\dfrac{y}{x}}-\sqrt{\dfrac{x}{y}+\sqrt{\dfrac{1}{xy}}}\right):\dfrac{1}{\sqrt{xy}}\)
Rút gọn
\(E=\frac{x+\sqrt{xy}}{y+\sqrt{xy}}\)
\(\dfrac{\left(\sqrt{x}-\sqrt{y}\right)^2+4\sqrt{xy}}{\sqrt{x}+\sqrt{y}}-\dfrac{x\sqrt{y}+y\sqrt{x}}{\sqrt{xy}}\)
rút gọn biểu thức \(x-\sqrt{xy}+y\)
bài 1: tính
a) \(\sqrt{1,2\cdot27}\) b) \(\sqrt{55\cdot77\cdot35}\)
c) (\(\sqrt{3}-\sqrt{2}\) )\(^2\) d) (3\(\sqrt{2}-1\))*(3\(\sqrt{2}+1\))
e) (\(\sqrt{6}+7\)) (\(\sqrt{3}-\sqrt{2}\)) i) \(\sqrt{\dfrac{1}{8}}\cdot\sqrt{2}\cdot\sqrt{125}\cdot\sqrt{\dfrac{1}{5}}\)
h) \(\sqrt{\sqrt{2}-1}\cdot\sqrt{\sqrt{2}}+1\)
bài 2: tính
a) \(\sqrt{9}-\sqrt{17}\cdot\sqrt{9}+\sqrt{17}\)
b) 2\(\sqrt{2}\left(\sqrt{3}-2\right)+\left(1+2\sqrt{2}\right)^2-2\sqrt{6}\)
c) \(\dfrac{\sqrt{6}+\sqrt{14}}{2\sqrt{3}+\sqrt{28}}\) d) \(\dfrac{\sqrt{10}+\sqrt{15}}{\sqrt{8}+\sqrt{12}}\)
e) \(\dfrac{\sqrt{15}-\sqrt{6}}{\sqrt{35}-\sqrt{14}}\) f) \(\dfrac{x+\sqrt{xy}}{9+\sqrt{xy}}\) (xy>0)
\(Timx,biet:\sqrt{X-5}=1+\sqrt{X}\) \(b,\sqrt{3-x}+\sqrt{x-5}=10\) \(Phan-tich-thanh-nhan-tu\) : \(x-2\sqrt{xy}+xy,,,\)
rút gọn biểu thức
\(\dfrac{x\sqrt{y}-y\sqrt{x}}{x-\sqrt{xy}+y}\)