Square root of 141
√141 ≈ 11.8743. The square root of 141 is about 11.8743. 141 is not a perfect square, so √141 is irrational: its decimals never end or repeat.
| Value | 11.87434209 |
|---|---|
| Rounded | 11.9 (1 dp) · 11.87 (2 dp) · 11.874 (3 dp) |
| Simplest radical form | √141 |
| Perfect square? | No — between 11² = 121 and 12² = 144 |
| 141 squared | 19,881 |
Estimating √141 in your head
Start from the nearest perfect square, 12² = 144. 141 is 3 less than that. Divide the difference by twice the root, 24, and subtract it:
√141 ≈ 12 − 3 ÷ 24 ≈ 11.875
The true value is 11.8743, so the one-step estimate is off by less than 0.001. The estimate always comes out slightly high, and it is closest when 141 is near a perfect square. The method is explained in estimating square roots in your head.
Can √141 be simplified?
No. 141 has no perfect-square factor besides 1, so √141 is already in simplest radical form.
Frequently asked questions
What is the square root of 141?
The square root of 141 is about 11.8743. 141 is not a perfect square, so √141 is irrational: its decimals never end or repeat.
Is 141 a perfect square?
No. It lies between 11² = 121 and 12² = 144.
What is √141 in simplest radical form?
√141 is already in simplest form: 141 has no square factor other than 1.
Practise estimating square rootsNearby: √140 · √142 · all square roots to 150