Question

when p is multiplied by 585, the product 585p is a perfect square. Find the smallest value of p, where p > 0

Answer 1

Answer:

p = 65

Step-by-step explanation:

585 = 3 × 3 × 5 × 13

multiplying 585 with 65 makes it a perfect square

585 × 65 = 38025

38025 = 3 × 3 × 5 × 5 × 13 × 13

38025 = 195 × 195

√38025 = 195