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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> |
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| '''Examples:'''
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| 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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Latest revision as of 22:05, 28 April 2024
Here we will be learning operations on Real Numbers.
Operations on Real Numbers Rules
- 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,
Examples
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