वास्तविक संख्याओं पर संक्रियाएँ: Difference between revisions
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यहां हम वास्तविक संख्याओं पर संक्रियाएँ सीखेंगे। | |||
== | == वास्तविक संख्याओं पर संक्रियाओं का नियम == | ||
* The sum or difference of a rational number and an irrational number is irrational. | * The sum or difference of a rational number and an irrational number is irrational. | ||
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* <math>(\sqrt{a} +\sqrt{b})^2=a+2\sqrt{ab}+b</math> | * <math>(\sqrt{a} +\sqrt{b})^2=a+2\sqrt{ab}+b</math> | ||
== | == उदाहरण == | ||
1.<math>(\sqrt{11} +\sqrt{7})(\sqrt{11} -\sqrt{b})</math> | 1.<math>(\sqrt{11} +\sqrt{7})(\sqrt{11} -\sqrt{b})</math> | ||
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<math>7-5=2</math> | <math>7-5=2</math> | ||
[[Category:संख्या पद्धति]][[Category:कक्षा-9]][[Category:गणित]] | वास्तविक संख्याओं पर संक्रियाएँ | ||
[[Category:संख्या पद्धति]] | |||
[[Category:कक्षा-9]] | |||
[[Category:गणित]] |
Revision as of 08:36, 29 April 2024
यहां हम वास्तविक संख्याओं पर संक्रियाएँ सीखेंगे।
वास्तविक संख्याओं पर संक्रियाओं का नियम
- The sum or difference of a rational number and an irrational number is irrational.
- The product or quotient of a non-zero rational number with an irrational number is irrational number.
- When two irrational numbers are added, subtracted, multiplied or divided, the result may be a rational or an irrational number.
If a and b are positive real numbers, then we have,
उदाहरण
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4.
वास्तविक संख्याओं पर संक्रियाएँ