Simplify: $\sqrt{289}$
Answer (2)
Recognize that the problem asks for the square root of 289.
Calculate the square root of 289, which is 17.
Verify that 17 × 17 = 289 .
The simplified form of 289 is 17 .
Explanation
Understanding the Problem We are asked to simplify the square root of 289, which means we need to find a number that, when multiplied by itself, equals 289. We are given a few possible answers: 83,521, 19, 144.5, and 17.
Finding the Square Root To find the square root of 289, we can test the given options or use our knowledge of perfect squares. Let's consider the option 17. If 17 multiplied by itself equals 289, then 17 is the square root of 289.
Verification Let's check if 17 × 17 = 289 . The result of the operation is 289, so 17 is indeed the square root of 289.
Final Answer Therefore, the simplified form of 289 is 17.
Examples
Understanding square roots is crucial in various real-life scenarios. For instance, when calculating the dimensions of a square-shaped garden with an area of 289 square feet, you would need to find the square root of 289 to determine the length of each side. In this case, each side would be 17 feet long. This concept is also used in construction, engineering, and many other fields where spatial calculations are necessary.
The square root of 289 is 17, as 17 multiplied by itself equals 289. Thus, 289 = 17 .
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