Square root of 94
√94 ≈ 9.6954. The square root of 94 is about 9.6954. 94 is not a perfect square, so √94 is irrational: its decimals never end or repeat.
| Value | 9.69535971 |
|---|---|
| Rounded | 9.7 (1 dp) · 9.70 (2 dp) · 9.695 (3 dp) |
| Simplest radical form | √94 |
| Perfect square? | No — between 9² = 81 and 10² = 100 |
| 94 squared | 8,836 |
Estimating √94 in your head
Start from the nearest perfect square, 10² = 100. 94 is 6 less than that. Divide the difference by twice the root, 20, and subtract it:
√94 ≈ 10 − 6 ÷ 20 ≈ 9.7
The true value is 9.6954, so the one-step estimate is off by about 0.005. The estimate always comes out slightly high, and it is closest when 94 is near a perfect square. The method is explained in estimating square roots in your head.
Can √94 be simplified?
No. 94 has no perfect-square factor besides 1, so √94 is already in simplest radical form.
Frequently asked questions
What is the square root of 94?
The square root of 94 is about 9.6954. 94 is not a perfect square, so √94 is irrational: its decimals never end or repeat.
Is 94 a perfect square?
No. It lies between 9² = 81 and 10² = 100.
What is √94 in simplest radical form?
√94 is already in simplest form: 94 has no square factor other than 1.
Practise estimating square rootsNearby: √93 · √95 · all square roots to 150