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75 km 641 m = 75.641 km ; 41 cm2 5 mm2 = 41.05 cm2

1 giờ 30 phút = 1.5 giờ ; 8 m3 20 dm3 = 8.02 dm3

4 km 576 m = 4.576 km ; 12 kg 24 g = 0.012024 kg

1 phút 15 giây = 1.25 phút ; 34 cm2 5 mm2 = 34.05 cm2

679 dm3 = 0.679 m3 ; 2 m3 18 dm3 = 2.018 m3

\(A=\dfrac{1}{4}+\dfrac{1}{16}+...+\dfrac{1}{576}\)

=1/2^2(1+1/2^2+...+1/12^2)

1/2^2+1/3^2+...+1/12^2<1-1/2+1/2-1/3+...+1/11-1/12=11/12

=>1+1/2^2+1/3^2+...+1/12^2<1+11/12=23/12

=>A<23/12*1/4=23/48<23/46=1/2

\(4\left(2x+1\right)^2=576\)

\(\left(2x+1\right)^2=\dfrac{576}{4}=144=12^2\)

\(\Leftrightarrow\left[{}\begin{matrix}2x+1=12\\2x+1=-12\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}2x=11\\2x=-13\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{11}{2}\\x=-\dfrac{13}{2}\end{matrix}\right.\)

\(4\cdot(2x+1)^2=576\\\Rightarrow (2x+1)^2=576:4\\\Rightarrow(2x+1)^2=144\\\Rightarrow(2x+1)^2=(\pm12)^2\)

\(\Rightarrow\left[{}\begin{matrix}2x+1=12\\2x+1=-12\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}2x=11\\2x=-13\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{11}{2}\\x=-\dfrac{13}{2}\end{matrix}\right.\)

Vậy: \(x\in\left\{-\dfrac{13}{2};\dfrac{11}{2}\right\}\)

4.(2x+1)²=576

(2x+1)²   =576:4

(2x+1)²   =144

 144        =12² 

    (2x+1) =12

      2x      =12-1

      2x      =11

        x      =11:2

        x      =\(\dfrac{11}{2}\)

Vậy x = \(\dfrac{11}{2}\)

\(A=\frac{1}{4}+\frac{1}{16}+....+\frac{1}{576}\)

\(\Rightarrow4A=1+\frac{1}{4}+....+\frac{1}{144}\)

\(\Rightarrow4A-A=1-\frac{1}{576}\)

\(\Rightarrow3A=1-\frac{1}{576}\)

\(\Rightarrow A=\frac{1-\frac{1}{576}}{3}\)

Ta có: \(\frac{1-\frac{1}{576}}{3}< \frac{1}{3}< \frac{1}{2}\)

vậy suy ra đpcm

A=14 +116 +....+1576 

⇒4A=1+14 +....+1144 

⇒4A−A=1−1576 

⇒3A=1−1576 

⇒A=1−1576 3 

Ta có: 1−1576 3 <13 <12 

vậy suy ra đpcm

x^2/y^2=4/9 và x^2 nhân y^2= 576

63 576 - 96 x 4

=63 576 - 384

=63 192

Nhớ ấn đúng nha!!

63 576- 96x4

=63 576-384

=63 192

bạn tick cho tớ nhé

$63576-576:6x4$.

$=63576-96x4$.

$=63576-384$.

$=63192$.

$-$Nhân chia trước cộng trừ sau.