Question

Find the smallest number by which 252 must be divided to get a perfect square. Also find the square root of the perfect square obtained?

Answer 1

Solution :252=2×2×3×3×7252=2×2×3×3×7We observe that 2 and 3 are grouped in pairs and the 7 is left un paired.If we multiply 252252 by the factor 7 then252×7=2×2×3×3×7×7252×7=2×2×3×3×7×71764=2×××3×3×7×71764=2×××3×3×7×7Which is a perfect square.∴∴ required number is 7Answer:7