What is the coordinate of the point represented by \(\sqrt{0.0225}\) on the number line?
Answer and explanation
Correct answer: \(0.15\)
\(0.0225=225/10000\), so \(\sqrt{0.0225}=15/100=0.15\), since \((0.15)^2=0.0225\). In option C, the decimal point is shifted one place too far to the left, making its square much smaller. Exam tip: For a decimal square root, convert the number into a fraction and take the square root of the numerator and denominator separately when both are perfect squares.
Frequently asked questions
What is the correct answer to this question?
\(0.15\)
Why is this the correct answer?
\(0.0225=225/10000\), so \(\sqrt{0.0225}=15/100=0.15\), since \((0.15)^2=0.0225\). In option C, the decimal point is shifted one place too far to the left, making its square much smaller. Exam tip: For a decimal square root, convert the number into a fraction and take the square root of the numerator and denominator separately when both are perfect squares.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.
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