Square root of 26
√26 ≈ 5.099. The square root of 26 is about 5.099. 26 is not a perfect square, so √26 is irrational: its decimals never end or repeat.
| Value | 5.09901951 |
|---|---|
| Rounded | 5.1 (1 dp) · 5.10 (2 dp) · 5.099 (3 dp) |
| Simplest radical form | √26 |
| Perfect square? | No — between 5² = 25 and 6² = 36 |
| 26 squared | 676 |
Estimating √26 in your head
Start from the nearest perfect square, 5² = 25. 26 is 1 more than that. Divide the difference by twice the root, 10, and add it:
√26 ≈ 5 + 1 ÷ 10 ≈ 5.1
The true value is 5.099, so the one-step estimate is off by less than 0.001. The estimate always comes out slightly high, and it is closest when 26 is near a perfect square. The method is explained in estimating square roots in your head.
Can √26 be simplified?
No. 26 has no perfect-square factor besides 1, so √26 is already in simplest radical form.
Frequently asked questions
What is the square root of 26?
The square root of 26 is about 5.099. 26 is not a perfect square, so √26 is irrational: its decimals never end or repeat.
Is 26 a perfect square?
No. It lies between 5² = 25 and 6² = 36.
What is √26 in simplest radical form?
√26 is already in simplest form: 26 has no square factor other than 1.
Practise estimating square rootsNearby: √25 · √27 · all square roots to 150