Which of the following is the value of \(\sqrt{0.16}\)?
Answer and explanation
Correct answer: 0.4
Since \(0.4\times0.4=0.16\), \(\sqrt{0.16}=0.4\). Note that the square-root symbol denotes the principal (non-negative) root, so although \((-0.4)^2=0.16\), the principal square root is positive 0.4. The other options are incorrect because \(0.04^2=0.0016\) and \(4^2=16\). Exam tip: when asked for \(\sqrt{\,\cdot\,}\) without sign, take the non-negative root.
Frequently asked questions
What is the correct answer to this question?
0.4
Why is this the correct answer?
Since \(0.4\times0.4=0.16\), \(\sqrt{0.16}=0.4\). Note that the square-root symbol denotes the principal (non-negative) root, so although \((-0.4)^2=0.16\), the principal square root is positive 0.4. The other options are incorrect because \(0.04^2=0.0016\) and \(4^2=16\). Exam tip: when asked for \(\sqrt{\,\cdot\,}\) without sign, take the non-negative root.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
