Toán Lớp 9: Rút gọn :
\frac{2x-3\sqrt{x}+1}{(\sqrt{x}-1).(\sqrt{x}+1)}
( làm chi tiết giùm mình nhé )
Leave a reply
Register Now
Login
Lost Password
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Toán Lớp 9: Rút gọn :
\frac{2x-3\sqrt{x}+1}{(\sqrt{x}-1).(\sqrt{x}+1)}
( làm chi tiết giùm mình nhé )
Comments ( 2 )
Đáp án
\quad \dfrac{2x – 3\sqrt x + 1}{\left(\sqrt x -1\right)\left(\sqrt x +1\right)}\qquad (x\geqslant 0;x \ne 1)\\
= \dfrac{\left(2x – 2\sqrt x\right) – \left(\sqrt x- 1\right)}{\left(\sqrt x -1\right)\left(\sqrt x +1\right)}\\
= \dfrac{2\sqrt x\left(\sqrt x – 1\right) – \left(\sqrt x -1\right)}{\left(\sqrt x -1\right)\left(\sqrt x +1\right)}\\
= \dfrac{\left(\sqrt x – 1\right)\left(2\sqrt x – 1\right)}{\left(\sqrt x -1\right)\left(\sqrt x +1\right)}\\
= \dfrac{2\sqrt x – 1}{\sqrt x + 1}
\end{array}\)