What is the value of \(\sqrt{\frac{16}{25}}\)?
Answer and explanation
Correct answer: \(\frac{4}{5}\)
\(\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\frac{4}{5}\). The principal square root is non-negative, so the value is \(\frac{4}{5}\). Option B is the negative of the principal root and hence incorrect; option C is the original fraction, not its square root; option D is a wrong computation. Exam tip: unless ± is specified, take the principal (non-negative) square root.
Frequently asked questions
What is the correct answer to this question?
\(\frac{4}{5}\)
Why is this the correct answer?
\(\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\frac{4}{5}\). The principal square root is non-negative, so the value is \(\frac{4}{5}\). Option B is the negative of the principal root and hence incorrect; option C is the original fraction, not its square root; option D is a wrong computation. Exam tip: unless ± is specified, take the principal (non-negative) square root.
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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