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Prove that √3 is an irrational number.
State the "Fundamental Theorem of Arithmetic" and use it to find LCM of 36 and 54.
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.
If n is a natural number, then 6ⁿ can end with the digit:
State the Fundamental Theorem of Arithmetic. Using it, find the LCM and HCF of 404 and 96, and verify the relation between the two numbers and their LCM and HCF.
Show that (15)ⁿ cannot end with the digit 0 for any natural number 'n'.
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