Square root of 131
√131 ≈ 11.4455. The square root of 131 is about 11.4455. 131 is not a perfect square, so √131 is irrational: its decimals never end or repeat.
| Value | 11.44552314 |
|---|---|
| Rounded | 11.4 (1 dp) · 11.45 (2 dp) · 11.446 (3 dp) |
| Simplest radical form | √131 |
| Perfect square? | No — between 11² = 121 and 12² = 144 |
| 131 squared | 17,161 |
Estimating √131 in your head
Start from the nearest perfect square, 11² = 121. 131 is 10 more than that. Divide the difference by twice the root, 22, and add it:
√131 ≈ 11 + 10 ÷ 22 ≈ 11.455
The true value is 11.4455, so the one-step estimate is off by about 0.009. The estimate always comes out slightly high, and it is closest when 131 is near a perfect square. The method is explained in estimating square roots in your head.
Can √131 be simplified?
No. 131 has no perfect-square factor besides 1, so √131 is already in simplest radical form.
Frequently asked questions
What is the square root of 131?
The square root of 131 is about 11.4455. 131 is not a perfect square, so √131 is irrational: its decimals never end or repeat.
Is 131 a perfect square?
No. It lies between 11² = 121 and 12² = 144.
What is √131 in simplest radical form?
√131 is already in simplest form: 131 has no square factor other than 1.
Practise estimating square rootsNearby: √130 · √132 · all square roots to 150