电子课本网 第17页

第17页

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​$=5\sqrt 2$​
​$=3\sqrt 3-2\sqrt 3$​
​$=\sqrt 3$​
​$=6\sqrt 2+8\sqrt 2-5\sqrt 2$​
​$=9\sqrt 2$​
​$=3\sqrt 3-2\sqrt 3+\frac {\sqrt 3}3$​
​$=\frac {4\sqrt 3}3$​
​$=6\sqrt {10}-\frac {\sqrt {10}}5-2×\frac {\sqrt {10}}{10}$​
​$=\frac {28}{5}\sqrt {10}$​
​$=\frac {\sqrt 2}2-\frac {4\sqrt 5}5-2×\frac 1{2\sqrt 2}+2\sqrt 5$​
​$=\frac 65\sqrt 5$​
​$=\sqrt {25×\frac x{5}}+\sqrt {\frac {25}{4}×\frac {4x}5}-\sqrt {x^2×\frac {20}x}$​
​$=\sqrt {5x}+\sqrt {5x}-\sqrt {20x}$​
​$=0$​
​$=\sqrt {\frac {4}{9}×9x}+\sqrt {36×\frac {x}4}-\sqrt {(2x)^2×\frac 1{2x}}$​
​$=\sqrt {4x}+\sqrt {9x}-\sqrt {2x}$​
​$=5\sqrt x-\sqrt {2x}$​
​$=\sqrt {\frac {9}{4}×4x}-(\sqrt {15×15×\frac x{25}}-2x)$​
​$=\sqrt {9x}-\sqrt {9x}+2x$​
​$=2x$​
​$=\sqrt {\frac {4}{9}x^2×18x}+\sqrt {(12x)^2×\frac x{8}}-\sqrt {x^6×\frac 2{x^3}}$​
​$=\sqrt {8x^3}+\sqrt {18x^3}-\sqrt {2x^3}$​
​$=2x\sqrt {2x}+3x\sqrt {2x}-x\sqrt {2x}$​
​$=4x\sqrt {2x}$​
​$=2ab\sqrt {3a}+\frac {ab\sqrt {3a}}2+2ab×\frac {\sqrt {3a}}2$​
​$=2ab\sqrt {3a}+\frac {ab}2\sqrt {3a}+ab\sqrt {3a}$​
​$=\frac 72ab\sqrt {3a}$​
​$=2\sqrt {a}-3a\sqrt {b}+10\sqrt {a}-2b×\frac {a\sqrt b}b$​
​$=2\sqrt a-3a\sqrt b+10\sqrt a-2a\sqrt b$​
​$=12\sqrt a-5a\sqrt b$​