What is the square root of 289?
Understand the Problem
The question is asking for the square root of the number 289. The square root is a value that, when multiplied by itself, gives the original number, which in this case is 289.
Answer
$17$
Answer for screen readers
The square root of 289 is $17$.
Steps to Solve
- Find two equal factors of 289
To determine the square root of 289, we need to find two numbers that, when multiplied together, equal 289.
- Identify the possible factors
We can start by checking if 289 is a perfect square. Test factors around the approximate value of the square root, which is close to 17 because $17^2 = 289$.
- Confirm the multiplication
Verify the equation: $$ 17 \times 17 = 289 $$
Since both factors are equal and their product is 289, we confirm that 17 is indeed the square root of 289.
The square root of 289 is $17$.
More Information
The number 289 is a perfect square, and its square root is an integer. Square roots are commonly used in many areas of mathematics and can be especially helpful in solving equations.
Tips
- A common mistake is miscalculating the approximate square root value before testing factors. To avoid this, always double-check your multiplication.
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