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電子課本網(wǎng) › 第115頁

第115頁

信息發(fā)布者：

解：原式?$=\frac {\sqrt {3}}{2}$?

解：原式?$=\frac {3}{x}$?

解：原式?$=\frac {4b2}{a}$?

解：原式?$=\sqrt {\frac {25}{9}}$?

?$ =\frac {5}{3}$?

解：原式?$=\frac {7×2}{9}$?

?$ =\frac {14}{9}$?

解：原式?$=\frac {x\sqrt {x}}{5y2}$?

解：原式?$=\frac {2\sqrt {2}}{3}$?

解：原式?$=-\sqrt {\frac {54}{3}}$?

?$ =-\sqrt {18}$?

?$ =-3\sqrt {2}$?

解：原式?$=-\frac {1}{3}\sqrt {\frac {2}{98}}$?

?$ =-\frac {1}{3}×\frac {1}{7}$?

?$ =-\frac {1}{21}$?

解：原式?$=\sqrt {\frac {16}{5}÷\frac {8}{5}}$?

?$ =\sqrt {2}$?

解：原式?$=\frac {1}{2}×\sqrt {6ab÷3a}$?

?$ =\frac {1}{2}\sqrt {2b}$?

解：設(shè)下底長為?$x$?

?$(2+x)×\sqrt {2}×\frac {1}{2}=\sqrt {50}$?

?$ x=8$?

∴梯形的下底長為?$8$?

?$\sqrt {\frac {125}{26}}$?

?$5\sqrt {\frac {5}{26}}$?

解：?$(2)\sqrt {n-\frac {n}{n^2+1}}=n\sqrt {\frac {n}{n^2+1}}$?

證明：?$\sqrt {n-\frac {n}{n^2+1}}=\sqrt {\frac {n(n^2+1)-n}{n^2+1}}=\sqrt {\frac {n^3+n-n}{n^2+1}}$?

?$=\sqrt {\frac {n^3}{n^2+1}}=n \sqrt {\frac {n}{n^2+1}}$?