Question

Prove that 3√ 3 is an irrational number. ​

Answer 1

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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