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| Irrational Numbers |
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| Numbers which are not rational are called irrational numbers. When expressed as decimals, they are non-terminating and non-recurring. |
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i.e., Irrational numbers cannot be put in the form  |
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where  and  |
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 are some examples of irrationals. |
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 |
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(i)  is also irrational. Its approximate value is  |
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| (ii) It is not possible to find the exact value of an irrational number. |
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| (iii) All rational and irrational numbers can be marked on the number line. |
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| Write two possible irrational numbers between 2 and 3. |
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| Consider the squares of 2 and 3 |
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 and  |
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5 and 6 lie between  |
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 lie between 2 and 3. |
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 The required possible irrational numbers are  |
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| We can obtain infinite number of irrationals between two irrational numbers. |
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