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Which of the following is the value of \\(\sqrt{0.49}+\frac{1}{\sqrt{25}})\\?

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Answer and explanation

Correct answer: 0.9

Compute each term separately: \(\sqrt{0.49}=0.7\) and \(\frac{1}{\sqrt{25}}=\frac{1}{5}=0.2\). Their sum is \(0.7+0.2=0.9\). Option B (0.7) represents only \(\sqrt{0.49}\) and omits the second term, so it is incorrect. Exam tip: simplify square roots first (including decimals), then perform the arithmetic to avoid sign or omission errors.

Related tags

Square-RootsDecimalsRational-NumbersReal-NumbersArithmetic

Frequently asked questions

What is the correct answer to this question?

0.9

Why is this the correct answer?

Compute each term separately: \(\sqrt{0.49}=0.7\) and \(\frac{1}{\sqrt{25}}=\frac{1}{5}=0.2\). Their sum is \(0.7+0.2=0.9\). Option B (0.7) represents only \(\sqrt{0.49}\) and omits the second term, so it is incorrect. Exam tip: simplify square roots first (including decimals), then perform the arithmetic to avoid sign or omission errors.

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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