Question

for each of the following numbers,find the smallest whole number by which it should be multiplied so as get a perfect square.Also find the square root of the square number so obtained.(1) 252 (2)180 (3)1008 (4)2028 (5)1458 (6)768

Answer 1

In all of these, you find the LCM of all the nos,and then multiply it. See the example I did.

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