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If the square root of $23394729 = a 27$ 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.

Given: To find: The value of a.
Question Image

Question Image

We will now find the square roots of 17161 and 729 independently using the prime factorization approach.

17161 = 1312

17161 = 131 … … … … .

729 = 36

729 = 33

729 = 27 … … … … … … …

From (1) and (2) we get,

17161729 = 13127

The value of a is 131 .
Hence, the correct answer is option 1.

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