1.

Prove that 3√ 3 is an irrational number. ​

Answer»

Step-by-step explanation:

  • 3√3 = p/Q (q ≠ 0)
  • √3 = p/q × 1/3
  • √3 = p/3q ---- (1)
  • We KNOW that √3 is irrational and p/3q is rational number.
  • From (1)
  • √3 ≠ p/3q
  • So, 3√3 is an irrational number.
  • Hence, Proved

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