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Prove that 5 − 2√3 is an irrational number. It is given that √3 is an irrational number.
Show that the number 5×11×17+3×11 is a composite number.
Prove that √3 is an irrational number.
State true or false for each of the following statements and justify in each case :
Prove that √2 is an irrational number.
Let x and y be two distinct prime numbers and p = x²y³, q = xy⁴, r = x⁵y². Find the HCF and LCM of p, q and r. Further check if HCF (p, q, r) × LCM (p, q, r) = p × q × r or not.
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