NCERT Mathematics Class 9 Exemplar Ch 1 Number Systems Part 6

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10. Rationalise the denominator of the following: (i) (ii) (iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

Answer: (i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

11. Find the values of a and b in each of the following:

(i)

(ii)

(iii)

(iv)

Answer: (i) a = 11, (ii) , (iii) , (iv)

12. If a = 2 + , then find the value of a – .

Answer: 2

13. Rationalise the denominator in each of the following and hence evaluate by taking =1.414 , =1.732 and = 2.236 , upto three places of decimal.

(i)

(ii)

(iii)

(iv)

(v)

Answer: (i)

(ii)

(iii)

(iv)

(v)

14. Simplify:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

Answer: (i) 6

(ii)

(iii) 9

(iv) 5

(v)

(vi)

(vii) 16

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