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Q.

Find the square root of 7056 by Prime factorization method


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a

84

b

58

c

54

d

36

answer is A.

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Detailed Solution

Concept: The prime factorization method is a technique where the value provided in the query is formed by the product of only prime numbers, which is then squared to obtain the square-root of the number in terms of the product of prime numbers. We utilize the LCM on the number formula to determine the prime numbers.
Using prime factorization
We can write
https://lh5.googleusercontent.com/BIaT2zpkemSsk3IcUl-TdhXuZ-fcRJ6nYz08AZ9dBWBTWdulJe3TJuq_8n2KzoUTWdO6dEuO7TDnsLQ_gIKC_Q5k4nr6K614M0ord3tPsg8y13mh0mKc_9b7ga9IWgmVXAbWvstZo0LYEoXOahkTgghttps://lh4.googleusercontent.com/B5bJHK30VAADazeS40HkmooElifoaoGwhR5FDTuljdUan0uxIEnHjTI0eo37424QHwVoZke5glLeKHIxc6e3F-eeg9H_VeucELrBnL1BcRJdvOfIU7qoXITgfL34NIFYFxRg7wvz2NV20GBb6OkpkQhttps://lh4.googleusercontent.com/EhH7f9QigQRqic9Iaz2ek_sGyERt-HAmK1G4T7tYM8rAl-y-1hbO7HXM10FhEOVEM5RphFPtpJG1HdcfhcPA1pyLjc6ZCW6eGCXai5Er-lajO6EOSlD0N8GBObLgl6Wr4j_LImtPBZWBWmAGjAKFxghttps://lh3.googleusercontent.com/oK2L8nQ9IdVuW22BZjtEA2-xVLs7xzMC35c9f7cNeXyCAU7vyJIpCZ1VVy5uTTZ-00INVSssr_KPgWKI27cdjmUlxZPQagLZNk7mH4w6WQPImwnj_R_SKY6XqcTKuiwo8kWizxoNu3Y4zCqWKkcZ2AHence, the correct answer is option 1) 84
 
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