Question

find the least number by which each of the given number should be multiplied so as to get a perfect square. also, find the square root of the resulting number. 3564 with images and full solutions with full L C M ​

Answer 1

factorisation of 2592=2×2×2×2×2×3×3×3×3

factorisation of 2592=2×2×2×2×2×3×3×3×3On grouping the factors in pairs, we notice that one 2 is left out. Hence,we should multiply 2592 with 2, so that prime factor 2 gets grouped in pairs.

factorisation of 2592=2×2×2×2×2×3×3×3×3On grouping the factors in pairs, we notice that one 2 is left out. Hence,we should multiply 2592 with 2, so that prime factor 2 gets grouped in pairs.Hence, 2592 should be multiplied by 2 to make it a perfect square.