1. Which of the following expressions are polynomials in one variable and which are not? State reasons for
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Find: (i) ({2^{2\over 3}}{2^{1\over 5}})
3. Find: (i) ({2^{2over 3}}{2^{1over 5}}) (ii) (({1over {3^3}})^7) (iii) ({11^{1over 2}}over{11^{1over 4}}) (iv) ({7^{1over 2}}{8^{1over 2}})
Find: (i) (9^{3\over 2})
2. Find: (i) (9^{3over 2}) (ii) (32^{2over 5}) (iii) (16^{3over 4}) (iv) (125^{-1over 3}) Number Systems Exercise
Find: (i) (64^{1\over 2})
1. Find: (i) (64^{1over 2}) (ii) (32^{1over 5})
Rationalise the denominators of the following: (i) (1\over{\sqrt 7})
5. Rationalise the denominators of the following: (i) (1over{sqrt 7}) (ii) (1over{sqrt 7-sqrt 6}) (iii) (1over{sqrt 5+sqrt
Represent (\sqrt {9.3}) on the number line.
4. Represent (sqrt {9.3}) on the number line. Number Systems Exercise 1.4 Previous Next Class 9 Number Systems
Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, (\pi={c\over d})·
3. Recall, π is defined as the ratio of the circumference (say c) of a circle to its
Simplify each of the following expressions: (i) ((3+\sqrt 3)(2+\sqrt 2))
2. Simplify each of the following expressions: (i) ((3+sqrt 3)(2+sqrt 2)) (ii) ((3+sqrt 3)(3-sqrt 3)) (iii) ((sqrt 5+sqrt
Classify the following numbers as rational or irrational: (i) (2-\sqrt 5)
1. Classify the following numbers as rational or irrational: (i) (2-sqrt 5) (ii) ((3+sqrt{23})-sqrt{23}) (iii) ({2sqrt 7}over{7sqrt 7})
Classify the following numbers as rational or irrational: (i) (\sqrt{23})
9. Classify the following numbers as rational or irrational: (i) (sqrt{23}) (ii) (sqrt{225}) (iii) 0.3796 (iv) 7.478478…