\(P=\left(\dfrac{\sqrt{x}}{\sqrt{x}+4}-1\right):\left(\dfrac{16-x+x-16-x+1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+4\right)}\right)\)
\(=\dfrac{\sqrt{x}-\sqrt{x}-4}{\sqrt{x}+4}\cdot\dfrac{\left(\sqrt{x}+4\right)\left(\sqrt{x}-1\right)}{-x+1}\)
\(=\dfrac{-4\left(\sqrt{x}-1\right)}{-\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}=\dfrac{4}{\sqrt{x}+1}\)
Rút gọn biểu thức sau
A=\(\dfrac{1}{x-1}\sqrt{75\left(x-1\right)^3}\left(x>1\right)
\)
B=\(5\sqrt{4x}-3\sqrt{\dfrac{100x}{9}}-\dfrac{4}{x}\sqrt{\dfrac{x^3}{4}}\left(x>0\right)
\)
C=\(x-4+\sqrt{16-8x+x^2}\left(x>4\right)\)
Help me
Rút gọn biểu thức sau :
\(B=\left(\dfrac{\sqrt{x}}{\sqrt{x}+4}+\dfrac{4}{\sqrt{x}-4}\right):\dfrac{x+16}{\sqrt{x}+2}\) ( x ≥ 0 ; x ≠ 16 )
\(P=\dfrac{x}{x-1}+\dfrac{3}{x+1}-\dfrac{6x-4}{x^2-1}\)
\(A=\dfrac{1}{x+\sqrt{x}}+\dfrac{2\sqrt{x}}{x-1}-\dfrac{1}{x-\sqrt{x}}\)
\(B=\left(2-\sqrt{3}\right)\sqrt{26+15\sqrt{3}-\left(2+\sqrt{3}\right)\sqrt{26-15\sqrt{3}}}\)
\(A=\left(\sqrt{10}-\sqrt{2}\right)\sqrt{3+\sqrt{5}}\)
Rút gọn biểu thức N=\(\left(\dfrac{\sqrt{x}}{\sqrt{x}+4}+\dfrac{4}{\sqrt{x}-4}\right):\dfrac{\sqrt{x}+16}{\sqrt{x}+2}\) với x≥0 ; x≠16
\(D=\left(\dfrac{1}{\sqrt{x}-1}+\dfrac{\sqrt{x}}{x-1}\right):\left(\dfrac{\sqrt{x}}{\sqrt{x}-1}-1\right)\)
1, Rút gọn D
2, Tìm x để \(D=\left(4-\dfrac{x-\sqrt{x}+13}{\sqrt{x}+3}\right):\dfrac{\sqrt{x}+1}{2\sqrt{x}+1}\)
Rút gọn P = \(\left(\dfrac{\sqrt{x}}{\sqrt{x}-1}-\dfrac{3\sqrt{x}-1}{x-1}\right):\left(\dfrac{\sqrt{x}+1}{\sqrt{x}}-\dfrac{4\sqrt{x}+1}{x+\sqrt{x}}\right)\) với x>0 ; x≠1
Rút gọn biểu thức:P=\(\left(\dfrac{3\sqrt{x}}{\sqrt{x}-3}+\dfrac{4\sqrt{x}}{\sqrt{x}+3}+\dfrac{7x-3}{9-x}\right):\left(\dfrac{2\sqrt{x}-4}{\sqrt{x}-3}-1\right)\)
Rút gọn biểu thức dạng chữ:
Q=\(\left(\dfrac{\sqrt{x}+2}{x+2\sqrt{x}+1}-\dfrac{\sqrt{x}-2}{x-1}\right).\left(x+\sqrt{x}\right)\) với x ≥0, x ≠1
A= \(A=\left(\dfrac{1}{\sqrt{x}-2}-\dfrac{1}{\sqrt{x}+2}+\dfrac{4\sqrt{x}}{4-x}\right):\dfrac{\sqrt{x}+1}{x-4}\) với x ≥0, x ≠ 4
\(A=\left(\dfrac{\sqrt{x}}{\sqrt{x}+3}+\dfrac{2\sqrt{x}}{\sqrt{x}-3}-\dfrac{3x+9}{x-9}\right):\dfrac{1}{x+6\sqrt{x}+9}\) với x ≥ 0, x ≠ 9
Hộ vs ạ
4.
\(A=\left(\dfrac{\sqrt{x}}{\sqrt{x}-1}\right)-\left(\dfrac{1}{x+\sqrt{x}}\right).\left(\dfrac{1}{\sqrt{x}-1}-\dfrac{2}{x-1}\right)\)
a. Rút gọn A.
b. Tính x khi \(A=\dfrac{1}{2}\)
5. CMR
\(\left(\dfrac{\sqrt{30}}{\sqrt{3}}-\dfrac{\sqrt{20}}{\sqrt{2}}-\dfrac{6}{\sqrt{6}}\right).\sqrt{4+\sqrt{15}}=2\)
nhanh lên nha
Rút gọn: \(\dfrac{\sqrt{x}\left(16-\sqrt{x}\right)}{x-4}+\dfrac{3+2\sqrt{x}}{2-\sqrt{x}}-\dfrac{2-3\sqrt{x}}{\sqrt{x}+2}\) với \(x\ge0;x\ne4\)
Cho biểu thức M=\(\left(\dfrac{x+\sqrt{x}}{x\sqrt{x}+x+\sqrt{x}+1}+\dfrac{1}{x+1}\right):\left(\dfrac{1}{\sqrt{x}-1}-\dfrac{2\sqrt{x}}{x\sqrt{x}-x+\sqrt{x}-1}\right)\)với x≥0,x≠1
a)Rút gọn M
b)Tính M khi x=\(\sqrt{7+4\sqrt{3}}+\sqrt{7-4\sqrt{3}}\)
