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Q.

Find the square root of 900 by prime factorization method.


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a

38

b

22

c

25

d

30

answer is D.

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Detailed Solution

Concept: We will first identify the provided number's prime factors using the prime factorization method. The square root of the provided number will then be determined utilising some of the factors found through prime factorization using the property of taking the square root of a number.
We will write 900 as product of its prime factors,
https://lh6.googleusercontent.com/YbFIp3agxd6-TPI2CEUUHsQMPN22hXtB4dt0AwM_gO0i6s5DEpa7eASyRNE5MXek_G6h4uQM0Jjk-7MzRJeAijGrgrh6E3M6xpnSriuKzT5_YUKURhCC-pd94wPGPC5gx31-7iV1OVm_frc_RfURvAhttps://lh5.googleusercontent.com/XPoQSY0L1CVkiS_dHU1rXyZCxSSYjSuRyMZZh063NqIy2hAoOfYPHbpiYLn6T0Nwmc8dfg_YvJ05rCkjc6qyBVnP2hXd_FDlJYhS7IPsO0HbxjXz_dCF4-CV6bgbQQucGthGmUfdTnYazaNrjzuPGQhttps://lh6.googleusercontent.com/SnyfZr9nQN-j14FFEehR9i6KXkanU50XOp6SHjavFc7oMvd4ZbtGX30oY_qCasXGbAROk4gL1QpFJtumNOjpe26tJcA14SbNpJCi2ljUUDxL2BQgqrV3slCkecy_nKnVmUCNSo35IDwoqOpKJm23bAhttps://lh4.googleusercontent.com/5mKWBiGhsq8HCUFPaWXfVeOMyt_5SC3uvhImvMGyKwjzJoHpSrlPJcCrlW5mFZB7Hmagdn_8AtKjx6usu6IYCPUUb0MkecKVVjgKb-cTreVV_fmrVvXBYA_5n0TkWDmY5pHmWMNy3j2aiZiSZ0LV9ghttps://lh4.googleusercontent.com/567dnD6QYRryAEIH5JIyDSxr58amJZjCBCmXKr-E6vqnpkkCk8cD7Br_01K8UWKOtEJD1niKaG6Kk4riQqhnps1pn23DPLGNw3CT7JWpZ-FXO5jZsXKvb7jBR13681pLAVCY-UB_BMkZ_QiihKIJMgHence, the correct answer is option 4) 30
 
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Find the square root of 900 by prime factorization method.