wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

For each of the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
(i) 252 (ii) 180 (iii) 1008 (iv) 2028 (v) 1458 (vi) 768

Open in App
Solution

i) 252=2×2––––×3×3––––×7
Therefore, we need to multiply 252 by 7 in order to make it a perfect square.
So, 252×7=1764
1764=42

ii) 180=2×2––––×3×3––––×5
Therefore, we need to multiply 180 by 5 in order to make it a perfect square.
So, 180×5=900
900=30

iii) 1008=2×2––––×2×2––––×3×3––––×7
Therefore, we need to multiply 1008 by 7 in order to make it a perfect square.
So, 1008×7=7056
7056=84

iv) 2028=2×2––––×13×13––––––×3
Therefore, we need to multiply 2028 by 3 in order to make it a perfect square.
So, 2028×3=6084
6084=78

v) 1458=3×3––––×3×3––––×3×3––––×2
Therefore, we need to multiply 1458 by 2 in order to make it a perfect square.
So, 1458×2=2916
2916=54

v) 768=2×2––––×2×2––––×2×2––––×2×2––––×3
Therefore, we need to multiply 768 by 3 in order to make it a perfect square.
So, 768×3=2304
2304=48

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Inside Cube Numbers
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon