Square root of 29
√29 ≈ 5.3852. The square root of 29 is about 5.3852. 29 is not a perfect square, so √29 is irrational: its decimals never end or repeat.
| Value | 5.38516481 |
|---|---|
| Rounded | 5.4 (1 dp) · 5.39 (2 dp) · 5.385 (3 dp) |
| Simplest radical form | √29 |
| Perfect square? | No — between 5² = 25 and 6² = 36 |
| 29 squared | 841 |
Estimating √29 in your head
Start from the nearest perfect square, 5² = 25. 29 is 4 more than that. Divide the difference by twice the root, 10, and add it:
√29 ≈ 5 + 4 ÷ 10 ≈ 5.4
The true value is 5.3852, so the one-step estimate is off by about 0.015. The estimate always comes out slightly high, and it is closest when 29 is near a perfect square. The method is explained in estimating square roots in your head.
Can √29 be simplified?
No. 29 has no perfect-square factor besides 1, so √29 is already in simplest radical form.
Frequently asked questions
What is the square root of 29?
The square root of 29 is about 5.3852. 29 is not a perfect square, so √29 is irrational: its decimals never end or repeat.
Is 29 a perfect square?
No. It lies between 5² = 25 and 6² = 36.
What is √29 in simplest radical form?
√29 is already in simplest form: 29 has no square factor other than 1.
Practise estimating square rootsNearby: √28 · √30 · all square roots to 150