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Prove that √3 is an irrational number.
Prove that √2 is an irrational number.
Assertion (A) : For any two natural numbers a and b, the HCF of a and b is a factor of the LCM of a and b. Reason (R) : HCF of any two natural numbers divides both the numbers.
State the "Fundamental Theorem of Arithmetic" and use it to find LCM of 36 and 54.
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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