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

Toán Lớp 9: Rút gọn b, √(13- √12)^2 c, √8-2 √15

Toán Lớp 9: Rút gọn
b, √(13- √12)^2
c, √8-2 √15

Comments ( 2 )

  1. b) $\sqrt[]{(13 – \sqrt[]{12})^2}$ = 13 – $\sqrt[]{12}$
    c) $\sqrt[]{(8 – 2 \sqrt[]{15}}$ = $\sqrt[]{(3 – 2 \sqrt[]{3.5} + 5}$ = $\sqrt[]{ (\sqrt[]{5} – \sqrt[]{3})^2}$ = $\sqrt[]{5}$ – $\sqrt[]{3}$

  2. Hướng dẫn trả lời:
    b) sqrt{(13 – sqrt12)^2}
    = |13 – sqrt12|
    = 13 – sqrt12 (Vì 13 = sqrt{169} > sqrt{12} → 13 – sqrt{12} > 0)
    c) sqrt{8 – 2sqrt{15}}
    = sqrt{5 – 2sqrt{15} + 3}
    = sqrt{(sqrt{5})^2 – 2cdot sqrt{5}cdot sqrt{3} + (sqrt{3})^2}
    = sqrt{(sqrt{5} – sqrt{3})^2}
    = |sqrt{5} – sqrt{3}|
    = sqrt{5} – sqrt{3} (Vì sqrt{5} > sqrt{3} → sqrt{5} – sqrt{3} > 0)
    Giải đáp:
    a) = 13 – sqrt12
    b) = sqrt{5} – sqrt{3}

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

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