Prove that √5 is an irrational number.
Prove that √3 is an irrational number.
Prove that √2 is an irrational number.
The factor tree of a number x is shown below : Find the values of x, y, a and b. Hence, write the product of the prime factors of the number x so obtained.
State the "Fundamental Theorem of Arithmetic" and use it to find LCM of 36 and 54.
Find which among the following numbers a, b and c is/are composite numbers. a = 7 × 11 × 13 + 13 b = 6 × 5 × 4 + 4 c = 7 × 13 + 6
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