Square root of 95
√95 ≈ 9.7468. The square root of 95 is about 9.7468. 95 is not a perfect square, so √95 is irrational: its decimals never end or repeat.
| Value | 9.74679434 |
|---|---|
| Rounded | 9.7 (1 dp) · 9.75 (2 dp) · 9.747 (3 dp) |
| Simplest radical form | √95 |
| Perfect square? | No — between 9² = 81 and 10² = 100 |
| 95 squared | 9,025 |
Estimating √95 in your head
Start from the nearest perfect square, 10² = 100. 95 is 5 less than that. Divide the difference by twice the root, 20, and subtract it:
√95 ≈ 10 − 5 ÷ 20 ≈ 9.75
The true value is 9.7468, so the one-step estimate is off by about 0.003. The estimate always comes out slightly high, and it is closest when 95 is near a perfect square. The method is explained in estimating square roots in your head.
Can √95 be simplified?
No. 95 has no perfect-square factor besides 1, so √95 is already in simplest radical form.
Frequently asked questions
What is the square root of 95?
The square root of 95 is about 9.7468. 95 is not a perfect square, so √95 is irrational: its decimals never end or repeat.
Is 95 a perfect square?
No. It lies between 9² = 81 and 10² = 100.
What is √95 in simplest radical form?
√95 is already in simplest form: 95 has no square factor other than 1.
Practise estimating square rootsNearby: √94 · √96 · all square roots to 150