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Q.

If the square root of 23 394 729 = a 27   then find the value of a?


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a

131

b

132

c

133

d

134 

answer is A.

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Detailed Solution

 Concept- The mixed fraction will be changed into an improper fraction, and the square root will then be determined using the long division method. The value of a will then be determined by comparison with the specified quantity. When dividing a large number (often one with three digits or more) by a number with two or more digits, the long division method is utilized.

Question Image Given: To find: The value of a.
Question ImageWe will now find the square roots of 17161 and 729 independently using the prime factorization approach.
17161 = 131 2  
17161 =131 ………….  
729 = 3 6  
729 = 3 3  
729 =27…………………  
From (1) and (2) we get,
17161 729 = 131 27  
The value of a is 131 .
Hence, the correct answer is option 1.
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