Calculate the square root of 2704

Problem

√(,2704)

Solution

1. Group the digits into pairs starting from the decimal point to the left, which gives 27 and 04

2. Identify the largest perfect square less than or equal to the first pair (27, which is 25 (5.

3. Subtract 25 from 27 to get 2 then bring down the next pair (04 to form the number 204

4. Double the current root (5×2=10 and find a digit x such that 10*x×x is less than or equal to 204

5. Test the digit 2 because 102×2=204

6. Conclude that the square root is 52 since the remainder is 0

Final Answer

√(,2704)=52

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