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Which of the following is the value of \(\sqrt{0.64}+\sqrt{0.09}\)?

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Answer and explanation

Correct answer: 1.1

\(\sqrt{0.64}=0.8\) and \(\sqrt{0.09}=0.3\). Therefore the sum is \(0.8+0.3=1.1\), so 1.1 is correct. The closest distractor 0.89 is incorrect because it is 0.21 less than the correct sum. Exam tip: check decimal square roots by converting to fractions (e.g. \(0.64=64/100\)) or by remembering that \(0.8^2=0.64\) and \(0.3^2=0.09\) to avoid place‑value mistakes.

Related tags

Decimal-Square-RootRational-NumberReal-NumbersSimplificationGrade10

Frequently asked questions

What is the correct answer to this question?

1.1

Why is this the correct answer?

\(\sqrt{0.64}=0.8\) and \(\sqrt{0.09}=0.3\). Therefore the sum is \(0.8+0.3=1.1\), so 1.1 is correct. The closest distractor 0.89 is incorrect because it is 0.21 less than the correct sum. Exam tip: check decimal square roots by converting to fractions (e.g. \(0.64=64/100\)) or by remembering that \(0.8^2=0.64\) and \(0.3^2=0.09\) to avoid place‑value mistakes.

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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