Çözüldü Natural, Exponential and Radical Numbers - Probability (8th Grade)

What is the probability that the product of the square root of a natural number between 1 and 100 (inclusive) and the number 3^0.5 is also a natural number?

x: Perfect Square
3x ≤ 100 ⇒ x ≤ 100 / 3 ⇒ x = {1^2, 2^2, 3^2, 4^2, 5^2} ⇒ s(x) = 5
Probability = 5 / 100 = 1 / 20.

Original Question (Turkish): "Son Kontrol, Matematik", Bilfen Yayınları, Temmuz 2025, Sayfa 79, Soru 3