What is the value of (62^2)?
Answer and explanation
Correct answer: 3844
\(62^2\) means \(62 \times 62\). Using \((60+2)^2\), we get \(60^2+2\times60\times2+2^2=3600+240+4=3844\). Therefore, 3844 is correct. The nearby distractor 3824 does not include the middle term \(240\) correctly. Exam tip: For squaring a two-digit number, use \((a+b)^2=a^2+2ab+b^2\).
Frequently asked questions
What is the correct answer to this question?
3844
Why is this the correct answer?
\(62^2\) means \(62 \times 62\). Using \((60+2)^2\), we get \(60^2+2\times60\times2+2^2=3600+240+4=3844\). Therefore, 3844 is correct. The nearby distractor 3824 does not include the middle term \(240\) correctly. Exam tip: For squaring a two-digit number, use \((a+b)^2=a^2+2ab+b^2\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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