Square root of 142
√142 ≈ 11.9164. The square root of 142 is about 11.9164. 142 is not a perfect square, so √142 is irrational: its decimals never end or repeat.
| Value | 11.91637529 |
|---|---|
| Rounded | 11.9 (1 dp) · 11.92 (2 dp) · 11.916 (3 dp) |
| Simplest radical form | √142 |
| Perfect square? | No — between 11² = 121 and 12² = 144 |
| 142 squared | 20,164 |
Estimating √142 in your head
Start from the nearest perfect square, 12² = 144. 142 is 2 less than that. Divide the difference by twice the root, 24, and subtract it:
√142 ≈ 12 − 2 ÷ 24 ≈ 11.917
The true value is 11.9164, so the one-step estimate is off by less than 0.001. The estimate always comes out slightly high, and it is closest when 142 is near a perfect square. The method is explained in estimating square roots in your head.
Can √142 be simplified?
No. 142 has no perfect-square factor besides 1, so √142 is already in simplest radical form.
Frequently asked questions
What is the square root of 142?
The square root of 142 is about 11.9164. 142 is not a perfect square, so √142 is irrational: its decimals never end or repeat.
Is 142 a perfect square?
No. It lies between 11² = 121 and 12² = 144.
What is √142 in simplest radical form?
√142 is already in simplest form: 142 has no square factor other than 1.
Practise estimating square rootsNearby: √141 · √143 · all square roots to 150