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What is the value of (57^2)?

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Answer and explanation

Correct answer: 3249

The square of a number is obtained by multiplying it by itself. \(57^2=57\times57=57\times(50+7)=2850+399=3249\). Therefore, 3249 is the correct answer. A value such as 3149 can result from an error in multiplication, since \(57\times7=399\). Exam tip: You can also calculate \(57^2\) quickly using \((a+b)^2=a^2+2ab+b^2\).

Related tags

Number SystemsExponentsSquaresMental MultiplicationClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

3249

Why is this the correct answer?

The square of a number is obtained by multiplying it by itself. \(57^2=57\times57=57\times(50+7)=2850+399=3249\). Therefore, 3249 is the correct answer. A value such as 3149 can result from an error in multiplication, since \(57\times7=399\). Exam tip: You can also calculate \(57^2\) quickly using \((a+b)^2=a^2+2ab+b^2\).

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.

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