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