Square root of 143
√143 ≈ 11.9583. The square root of 143 is about 11.9583. 143 is not a perfect square, so √143 is irrational: its decimals never end or repeat.
| Value | 11.95826074 |
|---|---|
| Rounded | 12.0 (1 dp) · 11.96 (2 dp) · 11.958 (3 dp) |
| Simplest radical form | √143 |
| Perfect square? | No — between 11² = 121 and 12² = 144 |
| 143 squared | 20,449 |
Estimating √143 in your head
Start from the nearest perfect square, 12² = 144. 143 is 1 less than that. Divide the difference by twice the root, 24, and subtract it:
√143 ≈ 12 − 1 ÷ 24 ≈ 11.958
The true value is 11.9583, so the one-step estimate is off by less than 0.001. The estimate always comes out slightly high, and it is closest when 143 is near a perfect square. The method is explained in estimating square roots in your head.
Can √143 be simplified?
No. 143 has no perfect-square factor besides 1, so √143 is already in simplest radical form.
Frequently asked questions
What is the square root of 143?
The square root of 143 is about 11.9583. 143 is not a perfect square, so √143 is irrational: its decimals never end or repeat.
Is 143 a perfect square?
No. It lies between 11² = 121 and 12² = 144.
What is √143 in simplest radical form?
√143 is already in simplest form: 143 has no square factor other than 1.
Practise estimating square rootsNearby: √142 · √144 · all square roots to 150