Class 9 – Number System

Example 18: Rationalise the denominator of 1/ (2 + √3) Example 19: Rationalise the denominator of 5 / (√3 – √5) Example 20: Rationalise the denominator of 1/ (7 + 3√2) Example 17 Example 21

Example 17: Rationalise the denominator of 1/√2⋅ Example 16 Example 18, 19, 20

Example 16: Simplify the following expressions: (i) (5+ √7)(2+ √5) (ii) (5+ √5)(5− √5) (iii) (√3+ √7)2 (iv) (√11− √7)(√11+ √7) Example 12, 13, 14, 15 Example 17

Example 12: Check whether 7 √5, 7/√5 , √2 +21, π − 2 are irrational numbers or not. Example 13: Add 2√2+5√3 and √2–3√3. Example 14: Multiply 6√5 by 2√5. Example 15: Divide 8√(15) by 2√3. Example 11 Example 16

Example 11: Visualize the representation of 5.373737… on the number line upto 5 decimal places, that is, up to 5.37777. Example 10 Example 12, 13, 14, 15

Question 2: Find: (i) 93/2 (ii) 322/5 (iii) 163/4 (iv) 125-1/3 Question 3: Simplify: (i)22/3⋅21/5 (ii)(1/33)7 (iii)(111/2) / (111/4) (iv)71/2⋅81/2 Question 1 Class 9 | Home

Question 1: Find: (i) 641/2 (ii) 321/5 (iii) 1251/3 Ex: 1.5 | Question 5 Question 2 & 3

Question 5: Rationalise the denominators of the following:(i) 1/√7   (ii)1/(√7−√6)   (iii) 1/(√5+ √2)   (iv) 1/(√7−2) Question 4 Ex: 1.6 | Question 1

Question 4: Represent √(9.3) on the number line. Question 3 Question 5