What is the value of \((22^2 + 32)\)?
Answer and explanation
Correct answer: 516
Evaluate the exponent first: \(22^2 = 484\). Then add: \(484 + 32 = 516\). Thus the correct value is 516. The distractors (506, 526, 496) do not match this sum — for example 506 would result from subtracting 10 by mistake. Exam tip: compute squares quickly using expansion, e.g. \((20+2)^2 = 20^2 + 2\times20\times2 + 2^2\).
Frequently asked questions
What is the correct answer to this question?
516
Why is this the correct answer?
Evaluate the exponent first: \(22^2 = 484\). Then add: \(484 + 32 = 516\). Thus the correct value is 516. The distractors (506, 526, 496) do not match this sum — for example 506 would result from subtracting 10 by mistake. Exam tip: compute squares quickly using expansion, e.g. \((20+2)^2 = 20^2 + 2\times20\times2 + 2^2\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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