Find the least number that must be subtracted from 9561 to make it a perfect square
Share
Find the least number that must be subtracted from 9561 to make it a perfect square
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Answer:
PLEASE MARK ME AS BRAINLIST
Step-by-step explanation:
(n − 1)² = n² – 2n + 1 = n² − (2n − 1)
-
So, to get the greatest perfect square less than n², we need to subtract 2n- 1 from that.
-
By mere observation, we can find that 1302 = 16,900, which is 100 more than 16, 800. Now, let us find the greatest perfect square less than 16, 900. To find this we need to subtract 2(130) - 1 = 259 from 1302.
But, as 16,900 is 100 more than 16, 800, we need to subtract 100 more to get the actual answer.
The answer is 159.
Thank you. :)