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What is the value of (61^2)?
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Answer and explanation
Correct answer: 3721
\(61^2=61\times61=(60+1)^2=60^2+2\times60\times1+1^2=3600+120+1=3721\). Therefore, 3721 is correct. The option 3621 can result from missing the middle term \(120\). Exam tip: use \((a+b)^2=a^2+2ab+b^2\) to quickly find squares of numbers close to 60 or 100.
Frequently asked questions
What is the correct answer to this question?
3721
Why is this the correct answer?
\(61^2=61\times61=(60+1)^2=60^2+2\times60\times1+1^2=3600+120+1=3721\). Therefore, 3721 is correct. The option 3621 can result from missing the middle term \(120\). Exam tip: use \((a+b)^2=a^2+2ab+b^2\) to quickly find squares of numbers close to 60 or 100.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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