What is \(\sqrt{\frac{16}{81}}\) equal to?
Answer and explanation
Correct answer: \(\frac{4}{9}\)
Using the square-root property, \(\sqrt{\frac{16}{81}}=\frac{\sqrt{16}}{\sqrt{81}}\). Since \(\sqrt{16}=4\) and \(\sqrt{81}=9\), the value is \(\frac{4}{9}\). The principal square root is taken as positive, so \(-\frac{4}{9}\) is not the answer. Exam tip: For a fraction made of perfect squares, take the square root of the numerator and denominator separately.
Frequently asked questions
What is the correct answer to this question?
\(\frac{4}{9}\)
Why is this the correct answer?
Using the square-root property, \(\sqrt{\frac{16}{81}}=\frac{\sqrt{16}}{\sqrt{81}}\). Since \(\sqrt{16}=4\) and \(\sqrt{81}=9\), the value is \(\frac{4}{9}\). The principal square root is taken as positive, so \(-\frac{4}{9}\) is not the answer. Exam tip: For a fraction made of perfect squares, take the square root of the numerator and denominator separately.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Real Numbers.
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