优优班--学霸训练营 > 知识点挑题
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            • 1.
              计算
              \((1)(2 \sqrt {5}- \sqrt {2}+ \sqrt {3})(2 \sqrt {5}- \sqrt {2}- \sqrt {3})\)
              \((2) \sqrt {484}-( \sqrt {12 \dfrac {1}{4}}- \sqrt {20.25})+( \dfrac {1}{5})^{-1}\)
            • 2.

              计算:\(3\tan 30{}^\circ +\left| 1-\sqrt{3} \right|+{{(2-\pi )}^{0}}-{{(\dfrac{1}{3})}^{-1}}\).

            • 3.
              \((1)\)计算:\(( \dfrac {1}{3- \sqrt {3}})^{0}-2\cos 60^{\circ}-| \sqrt {5}-3|\)
              \((2)\)解方程:\((x+4)^{2}=2(x+4)\)
            • 4.
              下列计算正确的是\((\)  \()\)
              A.\( \sqrt {36}=±6\)
              B.\(4 \sqrt {2}÷2 \sqrt {2}=2 \sqrt {2}\)
              C.\(8 \sqrt {3}-2 \sqrt {6}=6\)
              D.\( \sqrt {a}\cdot \sqrt {b}= \sqrt {ab}(a\geqslant 0,b\geqslant 0)\)
            • 5.
              计算:
              \((1) \sqrt {8}+ \sqrt {32}- \sqrt {2}\)
              \((2)( \sqrt {5}-2)(2+ \sqrt {5})-(- \sqrt {3})^{2}+ \sqrt {8}× \dfrac {1}{ \sqrt {2}}\).
            • 6.
              计算\(( \sqrt {50}- \sqrt {8})÷ \sqrt {2}\)的结果是 ______ .
            • 7.
              计算:
              \((1) \sqrt {18}- \dfrac {2}{ \sqrt {2}}+|1- \sqrt {2}|\)
              \((2)1- \dfrac {x^{2}-9}{x^{2}-6x+9}÷ \dfrac {x+3}{x+4}\).
            • 8.
              下列运算中错误的是\((\)  \()\)
              A.\( \sqrt {2}× \sqrt {3}= \sqrt {6}\)
              B.\( \dfrac {1}{ \sqrt {2}}= \dfrac { \sqrt {2}}{2}\)
              C.\(2\) \( \sqrt {2}+3 \sqrt {2}=5 \sqrt {2}\)
              D.\( \sqrt {( \sqrt {2}- \sqrt {3})^{2}}= \sqrt {2}- \sqrt {3}\)
            • 9.
              化简 \( \sqrt {8}- \sqrt {2}( \sqrt {2}+2)\)得\((\)  \()\)
              A.\(-2\)
              B.\( \sqrt {2}-2\)
              C.\(2\)
              D.\(4 \sqrt {2}-2\)
            • 10.
              化简\( \sqrt {3}- \sqrt {3}(1- \sqrt {3})\)的结果是\((\)  \()\)
              A.\(3\)
              B.\(-3\)
              C.\( \sqrt {3}\)
              D.\(- \sqrt {3}\)
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