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Free CBSE - Class 10 Mathematics - Real numbers worksheets

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1.
Express each number as a product of its prime factors: (i) 140
2.
Express each number as a product of its prime factors: (ii) 156
3.
Express each number as a product of its prime factors: (iii) 3825
4.
Express each number as a product of its prime factors: (iv) 5005
5.
Express each number as a product of its prime factors: (v) 7429
6.
Find the LCM and HCF of the following pairs of integers and verify that LCM $\times$ HCF = product of the two numbers. (ii) 510 and 92
7.
Find the LCM and HCF of the following pairs of integers and verify that LCM $\times$ HCF = product of the two numbers. (iii) 336 and 54
8.
Find the LCM and HCF of the following integers by applying the prime factorisation method. (i) 12, 15 and 21
9.
Find the LCM and HCF of the following integers by applying the prime factorisation method. (ii) 17, 23 and 29
10.
Prove that the following are irrationals : (iii) $6 + \sqrt{2}$
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