Square root of 38
√38 ≈ 6.1644. The square root of 38 is about 6.1644. 38 is not a perfect square, so √38 is irrational: its decimals never end or repeat.
| Value | 6.164414 |
|---|---|
| Rounded | 6.2 (1 dp) · 6.16 (2 dp) · 6.164 (3 dp) |
| Simplest radical form | √38 |
| Perfect square? | No — between 6² = 36 and 7² = 49 |
| 38 squared | 1,444 |
Estimating √38 in your head
Start from the nearest perfect square, 6² = 36. 38 is 2 more than that. Divide the difference by twice the root, 12, and add it:
√38 ≈ 6 + 2 ÷ 12 ≈ 6.167
The true value is 6.1644, so the one-step estimate is off by about 0.002. The estimate always comes out slightly high, and it is closest when 38 is near a perfect square. The method is explained in estimating square roots in your head.
Can √38 be simplified?
No. 38 has no perfect-square factor besides 1, so √38 is already in simplest radical form.
Frequently asked questions
What is the square root of 38?
The square root of 38 is about 6.1644. 38 is not a perfect square, so √38 is irrational: its decimals never end or repeat.
Is 38 a perfect square?
No. It lies between 6² = 36 and 7² = 49.
What is √38 in simplest radical form?
√38 is already in simplest form: 38 has no square factor other than 1.
Practise estimating square rootsNearby: √37 · √39 · all square roots to 150