Square root of 130
√130 ≈ 11.4018. The square root of 130 is about 11.4018. 130 is not a perfect square, so √130 is irrational: its decimals never end or repeat.
| Value | 11.40175425 |
|---|---|
| Rounded | 11.4 (1 dp) · 11.40 (2 dp) · 11.402 (3 dp) |
| Simplest radical form | √130 |
| Perfect square? | No — between 11² = 121 and 12² = 144 |
| 130 squared | 16,900 |
Estimating √130 in your head
Start from the nearest perfect square, 11² = 121. 130 is 9 more than that. Divide the difference by twice the root, 22, and add it:
√130 ≈ 11 + 9 ÷ 22 ≈ 11.409
The true value is 11.4018, so the one-step estimate is off by about 0.007. The estimate always comes out slightly high, and it is closest when 130 is near a perfect square. The method is explained in estimating square roots in your head.
Can √130 be simplified?
No. 130 has no perfect-square factor besides 1, so √130 is already in simplest radical form.
Frequently asked questions
What is the square root of 130?
The square root of 130 is about 11.4018. 130 is not a perfect square, so √130 is irrational: its decimals never end or repeat.
Is 130 a perfect square?
No. It lies between 11² = 121 and 12² = 144.
What is √130 in simplest radical form?
√130 is already in simplest form: 130 has no square factor other than 1.
Practise estimating square rootsNearby: √129 · √131 · all square roots to 150