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The square root of the fraction 1764/2809 is:
A{'text': '42/57'}
B{'text': '42/53'}
C{'text': '48/53'}
D{'text': '36/53'}
Answer & Solution
Correct answer: B. {'text': '42/53'}
1. √(a/b) = √a / √b for positive a, b.
2. √1764: 1764 = 4 × 441 = 4 × 21² = (2·21)² = 42².
3. √2809: 2809 = 53² (since 53 × 53 = 2809).
4. Therefore √(1764/2809) = 42/53.
5. Hence the answer is **42/53**.
_Source: Selina Concise ICSE Class 8 Mathematics Ch 3 "Squares and Square Roots", Fractional perfect squares_
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