Olympiad workbookIOQMBasics of Mathematics
What is the least positive integer by which 2^5 3^6 4^3 5^3 6^7 should be multiplied so that, the product is a perfect square?
Correct answer
15
Step-by-step solution
Given number N=2^5 3^6 4^3 5^3 6^7 aligned & N=2⁵⁺⁶⁺⁷ 3⁶⁺⁷ 5^3 & N=2¹⁸ 3¹³ 5^3 aligned Required number =3^1 5^1=15