Los left(88-90.875right)^2+left(94-90.875right)^2+left(93-90.875right)^2+left(90-90.875right)^2+{left(91-90.875right)}^2+{left(94-90.875right)}^2+{left(90-90.875right)}^2+{left(87-90.875right)}^2 op

$${ \left(88-90.875 \right) }^{ 2 } + { \left(94-90.875 \right) }^{ 2 } + { \left(93-90.875 \right) }^{ 2 } + { \left(90-90.875 \right) }^{ 2 } + { \left(91-90.875 \right) }^{ 2 } + { \left(94-90.875 \right) }^{ 2 } + { \left(90-90.875 \right) }^{ 2 } + { \left(87-90.875 \right) }^{ 2 }$$

Evalueren

$$48.875$$

Oplossingsstappen

Trek 90.875 af van 88 om -2.875 te krijgen.

$$\left(-2.875\right)^{2}+\left(94-90.875\right)^{2}+\left(93-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Bereken -2.875 tot de macht van 2 en krijg 8.265625.

$$8.265625+\left(94-90.875\right)^{2}+\left(93-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Trek 90.875 af van 94 om 3.125 te krijgen.

$$8.265625+3.125^{2}+\left(93-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Bereken 3.125 tot de macht van 2 en krijg 9.765625.

$$8.265625+9.765625+\left(93-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Tel [phone] en 9.765625 op om 18.03125 te krijgen.

$$18.03125+\left(93-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Trek 90.875 af van 93 om 2.125 te krijgen.

$$18.03125+2.125^{2}+\left(90-90.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Bereken 2.125 tot de macht van 2 en krijg 4.515625.

$$18.03125+4.515625+\left(90-90.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Tel [phone] en 4.515625 op om 22.546875 te krijgen.

$$22.546875+\left(90-90.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Trek 90.875 af van 90 om -0.875 te krijgen.

$$22.546875+\left(-0.875\right)^{2}+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Bereken -0.875 tot de macht van 2 en krijg 0.765625.

$$22.546875+0.765625+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Tel [phone] en 0.765625 op om 23.3125 te krijgen.

$$23.3125+\left(91-90.875\right)^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Trek 90.875 af van 91 om 0.125 te krijgen.

$$23.3125+0.125^{2}+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Bereken 0.125 tot de macht van 2 en krijg 0.015625.

$$23.3125+0.015625+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Tel 23.3125 en 0.015625 op om 23.328125 te krijgen.

$$23.328125+\left(94-90.875\right)^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Trek 90.875 af van 94 om 3.125 te krijgen.

$$23.328125+3.125^{2}+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Bereken 3.125 tot de macht van 2 en krijg 9.765625.

$$23.328125+9.765625+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Tel [phone] en 9.765625 op om 33.09375 te krijgen.

$$33.09375+\left(90-90.875\right)^{2}+\left(87-90.875\right)^{2}$$

Trek 90.875 af van 90 om -0.875 te krijgen.

$$33.09375+\left(-0.875\right)^{2}+\left(87-90.875\right)^{2}$$

Bereken -0.875 tot de macht van 2 en krijg 0.765625.

$$33.09375+0.765625+\left(87-90.875\right)^{2}$$

Tel [phone] en 0.765625 op om 33.859375 te krijgen.

$$33.859375+\left(87-90.875\right)^{2}$$

Trek 90.875 af van 87 om -3.875 te krijgen.

$$33.859375+\left(-3.875\right)^{2}$$

Bereken -3.875 tot de macht van 2 en krijg 15.015625.

$$33.859375+15.015625$$

Tel [phone] en 15.015625 op om 48.875 te krijgen.

$$48.875$$

Factoriseren

$$\frac{17 \cdot 23}{2 ^ {3}} = 48\frac{7}{8} = 48.875$$