Class :- 10th maths Chapter:- 1 important Questions

           Chapter :-1 

 Real Numbers (वास्तविक संख्याएँ)

            (महत्वपूर्ण प्रश्न ) 

            class :- 10th 

1. Find the LCM and HCF of 6 and  20 by the prime factorisation method.

2. Find the LCM and HCF of 96 and  404 using the prime factorisation method.

3.Find the LCM and HCF of 6 ,72 and  120 using the prime factorisation method.

4. Given that HCF (306 ,657) = 9 Find LCM (306,657).

5. Express each number as a product of is prime factors: 
(i)140      (ii)156          (iii)3825        (iv)5005      (v) 7429

6.Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers .
(i) 26 and 91      (ii) 510 and 92    (iii) 336 and 54

7. 
Find the LCM and HCF of the following  integers by applying prime factorisation method.
(i) 12 15 and 21 
(ii) 17 23 and 29
(iii) 8 , 9 and 25 

8). Prove that 3+2√5 is irrational.

9). Show that 3√2 is irrational.

10). Show that 5 - √3 is irrational.

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