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If the HCF of two numbers is 6 and LCM of the same two numbers is 54, then the square root of the product of these numbers is:
24
18
12
16
- Given: The HCF (Highest Common Factor) of two numbers is 6.
- LCM (Least Common Multiple) of these numbers is 54.
- Formula: Product of two numbers = HCF × LCM.
- Applying: Product = 6 × 54.
- Calculating: 6 × 54 = 324.
- To find: Square root of the product.
- v324 = 18.
- Reviewing Options:
1. Option 24 - Incorrect, since its square is 576.
2. Option 18 - Correct, as its square is 324.
3. Option 12 - Incorrect, since its square is 144.
4. Option 16 - Incorrect, since its square is 256.
- Correct Answer: Option 2 - 18
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