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

Question 98

Solve the following question:

Is 176 a perfect square? If not, find the smallest number by which it should be multiplied to get a perfect square.

Open in App
Solution

Prime factors of 176=2×2––––×2×2––––×11
Here, 11 has no pair
So, it is not a perfect square and 11 is the smallest number by which 176 should be multiplied to get a perfect square.
Then, 176×11=22×22×11×11
=22×22×112=1936=(44)2
which is a perfect square of 44
Hence, the smallest number is 11 by which it should be multiplied to get a perfect square.


flag
Suggest Corrections
thumbs-up
7
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon