What is \(\sqrt{\frac{121}{144}}\) equal to?
Answer and explanation
Correct answer: \(\frac{11}{12}\)
Using the property of square roots, \(\sqrt{\frac{121}{144}}=\frac{\sqrt{121}}{\sqrt{144}}\). Since \(\sqrt{121}=11\) and \(\sqrt{144}=12\), the value is \(\frac{11}{12}\). Exam tip: For a positive fraction, take the square root of the numerator and denominator separately.
Frequently asked questions
What is the correct answer to this question?
\(\frac{11}{12}\)
Why is this the correct answer?
Using the property of square roots, \(\sqrt{\frac{121}{144}}=\frac{\sqrt{121}}{\sqrt{144}}\). Since \(\sqrt{121}=11\) and \(\sqrt{144}=12\), the value is \(\frac{11}{12}\). Exam tip: For a positive fraction, 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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