Square root of 86
√86 ≈ 9.2736. The square root of 86 is about 9.2736. 86 is not a perfect square, so √86 is irrational: its decimals never end or repeat.
| Value | 9.2736185 |
|---|---|
| Rounded | 9.3 (1 dp) · 9.27 (2 dp) · 9.274 (3 dp) |
| Simplest radical form | √86 |
| Perfect square? | No — between 9² = 81 and 10² = 100 |
| 86 squared | 7,396 |
Estimating √86 in your head
Start from the nearest perfect square, 9² = 81. 86 is 5 more than that. Divide the difference by twice the root, 18, and add it:
√86 ≈ 9 + 5 ÷ 18 ≈ 9.278
The true value is 9.2736, so the one-step estimate is off by about 0.004. The estimate always comes out slightly high, and it is closest when 86 is near a perfect square. The method is explained in estimating square roots in your head.
Can √86 be simplified?
No. 86 has no perfect-square factor besides 1, so √86 is already in simplest radical form.
Frequently asked questions
What is the square root of 86?
The square root of 86 is about 9.2736. 86 is not a perfect square, so √86 is irrational: its decimals never end or repeat.
Is 86 a perfect square?
No. It lies between 9² = 81 and 10² = 100.
What is √86 in simplest radical form?
√86 is already in simplest form: 86 has no square factor other than 1.
Practise estimating square rootsNearby: √85 · √87 · all square roots to 150