Kuta Software - Infinite Algebra 1 Adding and Subtracting Radical Expressions Simplify. 1) 3sqrt (6)-4sqrt (6) 2) -3sqrt (7)+4sqrt (7) 3) -11sqrt (21)-11sqrt (21) 4) -9sqrt (15)div 10sqrt (15) 5) -10sqrt (7)+12sqrt (7) 6) -3sqrt (17)-4sqrt (17) 7) -10sqrt (11)-11sqrt (11) 8) -2sqrt (3)+3sqrt (27) 9) 2sqrt (6)-2sqrt (24) 10) 2sqrt (6)+3sqrt (54) 11) -sqrt (12)div 3sqrt (3) 12) 3sqrt (3)-sqrt (27)

1) $3\sqrt {6}-4\sqrt {6} = -\sqrt {6}$<br />2) $-3\sqrt {7}+4\sqrt {7} = \sqrt {7}$<br />3) $-11\sqrt {21}-11\sqrt {21} = -22\sqrt {21}$<br />4) $-9\sqrt {15}\div 10\sqrt {15} = -\frac{9}{10}$<br />5) $-10\sqrt {7}+12\sqrt {7} = 2\sqrt {7}$<br />6) $-3\sqrt {17}-4\sqrt {17} = -7\sqrt {17}$<br />7) $-10\sqrt {11}-11\sqrt {11} = -21\sqrt {11}$<br />8) $-2\sqrt {3}+3\sqrt {27} = -2\sqrt {3}+9\sqrt {3} = 7\sqrt {3}$<br />9) $2\sqrt {6}-2\sqrt {24} = 2\sqrt {6}-4\sqrt {6} = -2\sqrt {6}$<br />10) $2\sqrt {6}+3\sqrt {54} = 2\sqrt {6}+9\sqrt {6} = 11\sqrt {6}$<br />11) $-\sqrt {12}\div 3\sqrt {3} = -\frac{\sqrt {12}}{3\sqrt {3}} = -\frac{2\sqrt {3}}{3\sqrt {3}} = -\frac{2}{3}$<br />12) $3\sqrt {3}-\sqrt {27} = 3\sqrt {3}-3\sqrt {3} = 0$