Calculate the square root of 289
Problem
Solution
Identify the number under the radical, which is
289 Determine if the number is a perfect square by testing integers.
Test the integer
10 since10=100 which is less than289 Test the integer
20 since20=400 which is greater than289 Observe that the last digit of
289 is9 which suggests the square root might end in3 or7 Calculate
17×17 to check the value.Verify the multiplication:
17×10=170 and17×7=119 Sum the results:
170 + 119 = 289$.
Final Answer
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