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Prove that √3 is an irrational number.
Prove that √2 is an irrational number.
State the "Fundamental Theorem of Arithmetic" and use it to find LCM of 36 and 54.
If p = 2³ × 3² × 5 and q = 2² × 3³, then the LCM of p and q is :
The LCM of two numbers is 3600. Which of the following can not be their HCF ?
Show that 45ⁿ can not end with the digit 0, n being a natural number. Write the prime number 'a' which on multiplying with 45ⁿ makes the product end with the digit 0.
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