Square root of 41
√41 ≈ 6.4031. The square root of 41 is about 6.4031. 41 is not a perfect square, so √41 is irrational: its decimals never end or repeat.
| Value | 6.40312424 |
|---|---|
| Rounded | 6.4 (1 dp) · 6.40 (2 dp) · 6.403 (3 dp) |
| Simplest radical form | √41 |
| Perfect square? | No — between 6² = 36 and 7² = 49 |
| 41 squared | 1,681 |
Estimating √41 in your head
Start from the nearest perfect square, 6² = 36. 41 is 5 more than that. Divide the difference by twice the root, 12, and add it:
√41 ≈ 6 + 5 ÷ 12 ≈ 6.417
The true value is 6.4031, so the one-step estimate is off by about 0.014. The estimate always comes out slightly high, and it is closest when 41 is near a perfect square. The method is explained in estimating square roots in your head.
Can √41 be simplified?
No. 41 has no perfect-square factor besides 1, so √41 is already in simplest radical form.
Frequently asked questions
What is the square root of 41?
The square root of 41 is about 6.4031. 41 is not a perfect square, so √41 is irrational: its decimals never end or repeat.
Is 41 a perfect square?
No. It lies between 6² = 36 and 7² = 49.
What is √41 in simplest radical form?
√41 is already in simplest form: 41 has no square factor other than 1.
Practise estimating square rootsNearby: √40 · √42 · all square roots to 150