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Which option gives the value of \(\sqrt{0.25}+\sqrt{0.04}\)?

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Answer and explanation

Correct answer: 0.7

\(\sqrt{0.25}=0.5\) and \(\sqrt{0.04}=0.2\). Their sum is \(0.5+0.2=0.7\), so 0.7 is correct. Option C (0.54) reflects a common mistake: computing \(\sqrt{0.25+0.04}=\sqrt{0.29}\approx0.5385\) instead of summing the individual square roots. Exam tip: convert decimal squares to fractions (e.g. \(0.25=1/4,\;0.04=1/25\)) to recognize exact square roots quickly.

Related tags

Decimal-Square-RootRational-NumbersReal-NumbersCalculation

Frequently asked questions

What is the correct answer to this question?

0.7

Why is this the correct answer?

\(\sqrt{0.25}=0.5\) and \(\sqrt{0.04}=0.2\). Their sum is \(0.5+0.2=0.7\), so 0.7 is correct. Option C (0.54) reflects a common mistake: computing \(\sqrt{0.25+0.04}=\sqrt{0.29}\approx0.5385\) instead of summing the individual square roots. Exam tip: convert decimal squares to fractions (e.g. \(0.25=1/4,\;0.04=1/25\)) to recognize exact square roots quickly.

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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