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What is the value of \(\sqrt{225} \div \sqrt{9}\)?

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Answer and explanation

Correct answer: 5

Since \(225=15^2\) and \(9=3^2\), we have \(\sqrt{225}=15\) and \(\sqrt{9}=3\). Therefore, \(15\div3=5\), so option C is correct. Options B and D result from an incorrect division calculation. In an exam, evaluate both square roots first and then divide.

Related tags

Real NumbersSquare RootsPerfect SquaresDivision

Frequently asked questions

What is the correct answer to this question?

5

Why is this the correct answer?

Since \(225=15^2\) and \(9=3^2\), we have \(\sqrt{225}=15\) and \(\sqrt{9}=3\). Therefore, \(15\div3=5\), so option C is correct. Options B and D result from an incorrect division calculation. In an exam, evaluate both square roots first and then divide.

Which subject and chapter does this question cover?

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

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