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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 9: a) ( √45 + 2 √3 + √5) √5 – √60 b) (√7 – √6) ² + √168

Toán Lớp 9: a) ( √45 + 2 √3 + √5) √5 – √60
b) (√7 – √6) ² + √168

Comments ( 1 )

  1. Answer
    a.
    (\sqrt{45} + 2\sqrt{3} + \sqrt{5}) . \sqrt{5} – \sqrt{60}
    = (3\sqrt{5} + 2\sqrt{3} + \sqrt{5}) . \sqrt{5} – 2\sqrt{15} 
    = (4\sqrt{5} + 2\sqrt{3}) . \sqrt{5} – 2\sqrt{15} 
    = 4\sqrt{5} .  \sqrt{5} + 2\sqrt{3} . \sqrt{5} – 2\sqrt{15} 
    = 20 + 2\sqrt{15} – 2\sqrt{15} 
    = 20 + 0 
    = 20 
    _______________________
    b.
    (\sqrt{7} – \sqrt{6})^{2} + \sqrt{168}
    = (\sqrt{7} – \sqrt{6}) . (\sqrt{7} + \sqrt{6}) + \sqrt{168}
    = 13 – 2\sqrt{42} + 2\sqrt{42}
    = 13 – 0
    = 13

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222-9+11+12:2*14+14 = ? ( )