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The value of 74529\sqrt{74529} 74529​ is:
Question

The value of 74529\sqrt{74529} is:

A.

239

B.

243

C.

273

D.

259

Correct option is C

Given:

74529\sqrt{74529} = ?​

Solution:

the prime factorization of 74529 is : 

74529=3×7×13×3×7×13=(3×7×13)2=(273)274529=3×7×13×3×7×13=(3×7×13)^2=(273)^2  

74529=(273)2=273\sqrt{74529} = \sqrt{(273)^2} = 273 

Thus, the value of 74529 \sqrt{74529} is 273.​

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