What is the value of \(\sqrt{0.09}\)?
Answer and explanation
Correct answer: 0.3
Since \(0.09=\tfrac{9}{100}\), we have \(\sqrt{0.09}=\sqrt{\tfrac{9}{100}}=\tfrac{3}{10}=0.3\). The square root symbol denotes the principal (non‑negative) root, so \(-0.3\) is not the value of \(\sqrt{0.09}\). Exam tip: convert decimals to fractions (e.g. \(0.09=9/100\)) to make square roots easier to compute.
Frequently asked questions
What is the correct answer to this question?
0.3
Why is this the correct answer?
Since \(0.09=\tfrac{9}{100}\), we have \(\sqrt{0.09}=\sqrt{\tfrac{9}{100}}=\tfrac{3}{10}=0.3\). The square root symbol denotes the principal (non‑negative) root, so \(-0.3\) is not the value of \(\sqrt{0.09}\). Exam tip: convert decimals to fractions (e.g. \(0.09=9/100\)) to make square roots easier to compute.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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