Question

By what least number should 600 be multiply to get a perfect square?

Answer 1

Answer: 6

Step-by-step explanation:

By prime factorisation method

600= 2×2×2×3×5×5

600×(2×3)=2×2×2×2×3×3×5×5

600×6= 2×2×2×2×3×3×5×5

3600= 2×2×2×2×3×3×5×5

Therefore, 6 is the smallest number by which 600 should be multiplied to make it as a perfect square.

Also, √3600=2×2×3×5

= 60