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

Toán Lớp 7: Bài 1 :tính a) $\sqrt{(-7)^{2}}$ + $\sqrt{\frac{25}{16}}$ – $\frac{3}{2}$ b) $\frac{1}{2}$ . $\sqrt{100}$ – $\sqrt{\frac{1}{16}}$ + $

Toán Lớp 7: Bài 1 :tính
a) $\sqrt{(-7)^{2}}$ + $\sqrt{\frac{25}{16}}$ – $\frac{3}{2}$
b) $\frac{1}{2}$ . $\sqrt{100}$ – $\sqrt{\frac{1}{16}}$ + $ (\frac{1}{3})^{0}$

Comments ( 2 )

  1. Giải đáp:
    a) $\dfrac{27}4$.
    b) $\dfrac{23}4$.
    Lời giải và giải thích chi tiết:
    $a)\,\sqrt{(-7)^2}+\sqrt{\dfrac{25}{16}}-\dfrac32\\=\sqrt{49}+\sqrt{\left(\dfrac54\right)^2}-\dfrac32\\=7+\dfrac54-\dfrac32\\=7-\dfrac14\\=\dfrac{27}4\\b)\,\dfrac12\sqrt{100}-\sqrt{\dfrac1{16}}+\left(\dfrac13\right)^0\\=\dfrac12\sqrt{10^2}-\sqrt{\left(\dfrac14\right)^2}+1\\=\dfrac12\!\cdot\ \ \!\!\!\!10-\dfrac14-1\\=5-\dfrac14+1\\=6-\dfrac14\\=\dfrac{23}4$

  2. a) $\sqrt{(-7)^2}$ + $\sqrt{\dfrac{25}{16}}$ – 3/2
    = 7 + 5/4 – 3/2
    = 33/4 – 3/2
    = 27/4
    b) 1/2 × $\sqrt{100}$ – $\sqrt{\dfrac{1}{16}}$ + (1/3)^0
    = 1/2 × 10 – 1/4 + 1
    = 5 – 1/4 + 1
    = 19/4 + 1
    = 23/4
    @Tina

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