Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Properties of real numbers | Recall the properties of real number and learn how to apply. |
| 2. | Rationalise the denominator | Work on the concept of rationalising the denominator to make the expression in simpler form. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Classify the numbers as rational or irrational | Other | easy | 2 m. | Simplify the expression and classify the number. |
| 2. | Simplify the expression | Other | easy | 1 m. | Apply the suitable identity and simplify the irrational expression. |
| 3. | TBQ - Multiply irrational numbers | Other | easy | 1 m. | To know about operations on irrational numbers. |
| 4. | Simplify the following | Other | medium | 3 m. | To know about operations on real numbers. |
| 5. | Add the given expression | Other | medium | 2 m. | Use the identities and properties of real numbers to simplify the expressions. |
| 6. | Subtract, divide the given expressions | Other | medium | 3 m. | Practice a problem on identities and properties of real numbers. |
| 7. | TBQ - Find the value | Other | medium | 3 m. | To find the required value. |
| 8. | Determine the value of the irrational expression | Other | medium | 3 m. | Apply the identities to simplify the expression |
| 9. | Simplify the expression | Other | medium | 4 m. | With the help of identities convert the expressions into simpler form. |
| 10. | Operations on Rational and irrationals | Other | medium | 1 m. | To understand Properties of real numbers |
| 11. | Rationalise the denominator | Other | hard | 4 m. | Check your understanding skills in the concept of rationalising the denominator. |
| 12. | Represent square root of real number geometrically | Other | hard | 1 m. | Use the procedure to construct the square root of any positisve real number geometrically to do this work. |
| 13. | CBQ - Operations on real numbers | Other | hard | 4 m. | To find the area of the rectangular bed |