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Q.

Express 1250 4   in its simplest form and choose the option that represents it.


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a

5 2 4  

b

5 2  

c

5 2 3  

d

None of these 

answer is A.

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Detailed Solution

A radical expression is given as 1250 4  .
Use the method of prime factorization to expand the number inside the radical and evaluate the fourth root as follows,
1250 4 = 625×2 4 = 5×5×5×5×2 4 = 5 4 ×2 4 =5 2 4  
So, the simplest form of 1250 4   is 5 2 4  .
Hence, the correct option is (1).
 
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