Square Root Calculator › Square root of 602
Square Root of 602
√602 ≈ 24.535688
602 is not a perfect square, so √602 is an irrational number that is approximately 24.535688. In simplified radical form, √602 = √602.
√602 lies between √576 = 24 and √625 = 25.
| Number | 602 |
| Square root (decimal) | 24.535688 |
| Simplified radical | √602 |
| Perfect square? | No |
| Rational? | No |
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Prime factorization of 602
602 = 2 × 7 × 43. This is what determines the simplified radical: for √602 you pull out one copy of any prime that appears twice.
No prime appears twice, so nothing can be taken out — √602 is already in simplest radical form as √602.
Estimating √602 by hand
√602 falls between √576 = 24 and √625 = 25, so it starts at 24.something. The Babylonian method refines that guess by averaging it with 602 ÷ the guess:
| Step | Estimate |
| Start | 24 |
| Step 1 | 24.541667 |
| Step 2 | 24.535689 |
| Step 3 | 24.535688 |
After 3 steps the estimate is 24.535688, matching √602 ≈ 24.535688.
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Frequently asked questions
Is 602 a perfect square?
No, 602 is not a perfect square, so its square root is irrational and approximately 24.535688.
What is the square root of 602 in simplest radical form?
√602 = √602 in simplest radical form.