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Q.

Find the square root by prime factorization method 13225


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a

120

b

115

c

135

d

102

answer is B.

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Detailed Solution

Concept: To "break down" or express a given number as a product of prime numbers, one uses the prime factorization technique. A prime number is typically stated in exponential form when it appears more than once in the factorization so that we can use it as needed.
The process for 13225's prime factorization is shown below.
seoPrime factorization of https://lh3.googleusercontent.com/pF45rh2SWxJn1loh-uWvsHgxllAhlhvbKUTy0UWf6psMMoc5iwM09LiL5tdqmfuGAZggBckjnRsijq9F_pAOdxm4616yIJ48nYHkqAs8XmEjW0IHLF7zwSLIpG0lk-CJ0KB8izUdqJCHjVPw3qvUKQhttps://lh5.googleusercontent.com/_n5-8_-Nar5sAodKdStf2vawjBPuVFDLl6EgRCIY1GJmf0kS3dRZnxk5CgzlhWmbuKXcSHYW9X-L9JD9OML2U46657CH4htCeEAE_Utsr53FmjCBffiVT-hjtB8WTC9A0cxc2bzHUvHzEE4m706QqQhttps://lh5.googleusercontent.com/nqACXCNFRCqBoX2HwGQlkeNb_8DNXV2EK5PWaSBYOrYnL8l9uSPxLLO5O0hF_FByNj1N_Cxb6MP7HdqyXEYbtS-L3cQHoCh0zxdzQvIRKbH34UUuz4otkkLjUmvebouNcrJeEqO83xpGOk4xc8EUKAhttps://lh4.googleusercontent.com/eryGHTFEqFcaikC8mCf7IFujPocXkxbiYFYUHjz3K4t_IzB2L8JtD0pXJR9alQ6o7g34Y8R4frxQACiUwd2n0_DZi7db6GARDHI3Y0H5wEaf4yIxXJhAChI4EjYvtr5nhrd-5_ZlBbX20PfiV7OOiASquare root of https://lh5.googleusercontent.com/6fp4rikZiwKoZOtFZ1hROvG63fNTESEJdvmv6CVEkGoNIexG9AA_UYdv6SchAA7PKl2VRJ_dR0SI5KR-0bU4D-ym9Qv4uaU7tu7rdzpePgvnatNvcQr-idhMhUClVwJq_WX2D3GpIr0gx7jADfGNJwHence, the correct answer is option 2) 115
 
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