Toán Lớp 9: Rút gọn:
$\frac{12}{4–\sqrt[]{10}}$ $+$ $\frac{\sqrt[]{10} + 5\sqrt[]{2}}{\sqrt[]{5} + 1}$ $– 6$$\sqrt[]{\frac{5}{2}}$
Leave a reply
Register Now
Login
Lost Password
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Toán Lớp 9: Rút gọn:
$\frac{12}{4–\sqrt[]{10}}$ $+$ $\frac{\sqrt[]{10} + 5\sqrt[]{2}}{\sqrt[]{5} + 1}$ $– 6$$\sqrt[]{\frac{5}{2}}$
Comments ( 1 )
\dfrac{{12}}{{4 – \sqrt {10} }} + \dfrac{{\sqrt {10} + 5\sqrt 2 }}{{\sqrt 5 + 1}} – 6\sqrt {\dfrac{5}{2}} \\
= \dfrac{{12\left( {4 + \sqrt {10} } \right)}}{{{4^2} – 10}} + \dfrac{{\sqrt {10} \left( {1 + \sqrt 5 } \right)}}{{\sqrt 5 + 1}} – 3\sqrt 2 .\sqrt 5 \\
= \dfrac{{12\left( {4 + \sqrt {10} } \right)}}{6} + \sqrt {10} – 3\sqrt {10} \\
= 2\left( {4 + \sqrt {10} } \right) – 2\sqrt {10} \\
= 8 + 2\sqrt {10} – 2\sqrt {10} \\
= 8
\end{array}$