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If (b^2=225) then what is the positive value of (b)?

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Answer and explanation

Correct answer: 15

Since the square of 15 is 225, \(15^2=225\). Thus, \(b^2=225\) gives \(b=\pm15\), but the question asks for the positive value, so the answer is 15. Option 25 may seem tempting, but \(25^2=625\), not 225. Exam tip: when the positive value in \(x^2=a\) is asked, take \(\sqrt{a}\).

Related tags

ExponentsSquaresSquare RootsPositive RootNumber Systems

Frequently asked questions

What is the correct answer to this question?

15

Why is this the correct answer?

Since the square of 15 is 225, \(15^2=225\). Thus, \(b^2=225\) gives \(b=\pm15\), but the question asks for the positive value, so the answer is 15. Option 25 may seem tempting, but \(25^2=625\), not 225. Exam tip: when the positive value in \(x^2=a\) is asked, take \(\sqrt{a}\).

Which subject and chapter does this question cover?

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

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