الرياضيات المتناهية الأمثلة

$\sqrt{\frac{{(0.53 - 4.52)}^{2} + {(0.55 - 4.52)}^{2} + {(5.74 - 4.52)}^{2} + {(1.07 - 4.52)}^{2} + {(7.24 - 4.52)}^{2} + {(5.91 - 4.52)}^{2} + {(6.56 - 4.52)}^{2} + {(0.62 - 4.52)}^{2} + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 1

اطرح $4.52$ من $0.53$ .

$\sqrt{\frac{{(- 3.99)}^{2} + {(0.55 - 4.52)}^{2} + {(5.74 - 4.52)}^{2} + {(1.07 - 4.52)}^{2} + {(7.24 - 4.52)}^{2} + {(5.91 - 4.52)}^{2} + {(6.56 - 4.52)}^{2} + {(0.62 - 4.52)}^{2} + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 2

ارفع $- 3.99$ إلى القوة $2$ .

$\sqrt{\frac{15.9201 + {(0.55 - 4.52)}^{2} + {(5.74 - 4.52)}^{2} + {(1.07 - 4.52)}^{2} + {(7.24 - 4.52)}^{2} + {(5.91 - 4.52)}^{2} + {(6.56 - 4.52)}^{2} + {(0.62 - 4.52)}^{2} + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 3

اطرح $4.52$ من $0.55$ .

$\sqrt{\frac{15.9201 + {(- 3.97)}^{2} + {(5.74 - 4.52)}^{2} + {(1.07 - 4.52)}^{2} + {(7.24 - 4.52)}^{2} + {(5.91 - 4.52)}^{2} + {(6.56 - 4.52)}^{2} + {(0.62 - 4.52)}^{2} + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 4

ارفع $- 3.97$ إلى القوة $2$ .

$\sqrt{\frac{15.9201 + 15.7609 + {(5.74 - 4.52)}^{2} + {(1.07 - 4.52)}^{2} + {(7.24 - 4.52)}^{2} + {(5.91 - 4.52)}^{2} + {(6.56 - 4.52)}^{2} + {(0.62 - 4.52)}^{2} + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 5

اطرح $4.52$ من $5.74$ .

$\sqrt{\frac{15.9201 + 15.7609 + {1.22}^{2} + {(1.07 - 4.52)}^{2} + {(7.24 - 4.52)}^{2} + {(5.91 - 4.52)}^{2} + {(6.56 - 4.52)}^{2} + {(0.62 - 4.52)}^{2} + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 6

ارفع $1.22$ إلى القوة $2$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + {(1.07 - 4.52)}^{2} + {(7.24 - 4.52)}^{2} + {(5.91 - 4.52)}^{2} + {(6.56 - 4.52)}^{2} + {(0.62 - 4.52)}^{2} + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 7

اطرح $4.52$ من $1.07$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + {(- 3.45)}^{2} + {(7.24 - 4.52)}^{2} + {(5.91 - 4.52)}^{2} + {(6.56 - 4.52)}^{2} + {(0.62 - 4.52)}^{2} + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 8

ارفع $- 3.45$ إلى القوة $2$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + {(7.24 - 4.52)}^{2} + {(5.91 - 4.52)}^{2} + {(6.56 - 4.52)}^{2} + {(0.62 - 4.52)}^{2} + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 9

اطرح $4.52$ من $7.24$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + {2.72}^{2} + {(5.91 - 4.52)}^{2} + {(6.56 - 4.52)}^{2} + {(0.62 - 4.52)}^{2} + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 10

ارفع $2.72$ إلى القوة $2$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + 7.3984 + {(5.91 - 4.52)}^{2} + {(6.56 - 4.52)}^{2} + {(0.62 - 4.52)}^{2} + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 11

اطرح $4.52$ من $5.91$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + 7.3984 + {1.39}^{2} + {(6.56 - 4.52)}^{2} + {(0.62 - 4.52)}^{2} + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 12

ارفع $1.39$ إلى القوة $2$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + 7.3984 + 1.9321 + {(6.56 - 4.52)}^{2} + {(0.62 - 4.52)}^{2} + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 13

اطرح $4.52$ من $6.56$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + 7.3984 + 1.9321 + {2.04}^{2} + {(0.62 - 4.52)}^{2} + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 14

ارفع $2.04$ إلى القوة $2$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + 7.3984 + 1.9321 + 4.1616 + {(0.62 - 4.52)}^{2} + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 15

اطرح $4.52$ من $0.62$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + 7.3984 + 1.9321 + 4.1616 + {(- 3.9)}^{2} + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 16

ارفع $- 3.9$ إلى القوة $2$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + 7.3984 + 1.9321 + 4.1616 + 15.21 + {(4.67 - 4.52)}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 17

اطرح $4.52$ من $4.67$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + 7.3984 + 1.9321 + 4.1616 + 15.21 + {0.15}^{2} + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 18

ارفع $0.15$ إلى القوة $2$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + 7.3984 + 1.9321 + 4.1616 + 15.21 + 0.0225 + {(4.31 - 4.52)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 19

اطرح $4.52$ من $4.31$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + 7.3984 + 1.9321 + 4.1616 + 15.21 + 0.0225 + {(- 0.21)}^{2} + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 20

ارفع $- 0.21$ إلى القوة $2$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + 7.3984 + 1.9321 + 4.1616 + 15.21 + 0.0225 + 0.0441 + {(8.49 - 4.52)}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 21

اطرح $4.52$ من $8.49$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + 7.3984 + 1.9321 + 4.1616 + 15.21 + 0.0225 + 0.0441 + {3.97}^{2} + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 22

ارفع $3.97$ إلى القوة $2$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + 7.3984 + 1.9321 + 4.1616 + 15.21 + 0.0225 + 0.0441 + 15.7609 + {(8.49 - 4.52)}^{2}}{12 - 1}}$

خطوة 23

اطرح $4.52$ من $8.49$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + 7.3984 + 1.9321 + 4.1616 + 15.21 + 0.0225 + 0.0441 + 15.7609 + {3.97}^{2}}{12 - 1}}$

خطوة 24

ارفع $3.97$ إلى القوة $2$ .

$\sqrt{\frac{15.9201 + 15.7609 + 1.4884 + 11.9025 + 7.3984 + 1.9321 + 4.1616 + 15.21 + 0.0225 + 0.0441 + 15.7609 + 15.7609}{12 - 1}}$

خطوة 25

أضف $15.9201$ و $15.7609$ .

$\sqrt{\frac{31.681 + 1.4884 + 11.9025 + 7.3984 + 1.9321 + 4.1616 + 15.21 + 0.0225 + 0.0441 + 15.7609 + 15.7609}{12 - 1}}$

خطوة 26

أضف $31.681$ و $1.4884$ .

$\sqrt{\frac{33.1694 + 11.9025 + 7.3984 + 1.9321 + 4.1616 + 15.21 + 0.0225 + 0.0441 + 15.7609 + 15.7609}{12 - 1}}$

خطوة 27

أضف $33.1694$ و $11.9025$ .

$\sqrt{\frac{45.0719 + 7.3984 + 1.9321 + 4.1616 + 15.21 + 0.0225 + 0.0441 + 15.7609 + 15.7609}{12 - 1}}$

خطوة 28

أضف $45.0719$ و $7.3984$ .

$\sqrt{\frac{52.4703 + 1.9321 + 4.1616 + 15.21 + 0.0225 + 0.0441 + 15.7609 + 15.7609}{12 - 1}}$

خطوة 29

أضف $52.4703$ و $1.9321$ .

$\sqrt{\frac{54.4024 + 4.1616 + 15.21 + 0.0225 + 0.0441 + 15.7609 + 15.7609}{12 - 1}}$

خطوة 30

أضف $54.4024$ و $4.1616$ .

$\sqrt{\frac{58.564 + 15.21 + 0.0225 + 0.0441 + 15.7609 + 15.7609}{12 - 1}}$

خطوة 31

أضف $58.564$ و $15.21$ .

$\sqrt{\frac{73.774 + 0.0225 + 0.0441 + 15.7609 + 15.7609}{12 - 1}}$

خطوة 32

أضف $73.774$ و $0.0225$ .

$\sqrt{\frac{73.7965 + 0.0441 + 15.7609 + 15.7609}{12 - 1}}$

خطوة 33

أضف $73.7965$ و $0.0441$ .

$\sqrt{\frac{73.8406 + 15.7609 + 15.7609}{12 - 1}}$

خطوة 34

أضف $73.8406$ و $15.7609$ .

$\sqrt{\frac{89.6015 + 15.7609}{12 - 1}}$

خطوة 35

أضف $89.6015$ و $15.7609$ .

$\sqrt{\frac{105.3624}{12 - 1}}$

خطوة 36

اطرح $1$ من $12$ .

$\sqrt{\frac{105.3624}{11}}$

خطوة 37

اقسِم $105.3624$ على $11$ .

$\sqrt{9.5784}$

خطوة 38

يمكن عرض النتيجة بصيغ متعددة.

الصيغة التامة:

$\sqrt{9.5784}$

الصيغة العشرية:

$3.09489902 \dots$