Square Root of 289
Calculate √289 instantly — exact value, step-by-step explanation, and properties.
How to Calculate √289
The square root of 289 is exactly 17. This is because 17 × 17 = 289. Since 289 is a perfect square, its square root is a whole number. You can verify: 17² = 17 × 17 = 289.
√289 = 17 (because 17 × 17 = 289) Properties of √289
Perfect Square?
Yes
289 = 17², so its square root is a whole number.
Decimal Value
17
Exact integer result.
Square Root Symbol
√289
Also written as 289^(1/2) or 289^0.5 in programming.
Related Square Root Values
Reference table of square roots near 289 for quick comparison.
Frequently Asked Questions
What is the square root of 289?
The square root of 289 is exactly 17. Since 289 is a perfect square, √289 = 17.
Is 289 a perfect square?
Yes, 289 is a perfect square. It equals 17², meaning 17 × 17 = 289.
How do you calculate √289 by hand?
Since 289 is a perfect square, you can find √289 by identifying which integer multiplied by itself equals 289. The answer is 17, because 17 × 17 = 289.
What is √289 in simplified radical form?
√289 = 17. Since it's a perfect square, no radical form is needed.