Square root of 289 simplified
Understand the Problem
The question is asking for the square root of 289 and its simplified form. To solve it, we need to find a number that when multiplied by itself equals 289.
Answer
$17$
Answer for screen readers
The square root of 289 is $17$.
Steps to Solve
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Identify the perfect square We start by recognizing that we are looking for a number that, when multiplied by itself, equals 289.
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Finding the square root To find this number, we use the square root function. We write the equation as: $$ x = \sqrt{289} $$
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Calculating the square root Next, we need to calculate the square root. We know that: $$ 17 \times 17 = 289 $$
So, $$ \sqrt{289} = 17 $$
- Conclusion The simplified form of the square root of 289 is thus: $$ \sqrt{289} = 17 $$
The square root of 289 is $17$.
More Information
The number 289 is a perfect square, which means it has an integer square root. The number 17 is also a prime number, meaning it has no divisors other than 1 and itself.
Tips
- A common mistake is miscalculating the square root or thinking it ends up being a decimal or negative number. Remember, the square root of a positive number is always non-negative.
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