Square root of 79
√79 ≈ 8.8882. The square root of 79 is about 8.8882. 79 is not a perfect square, so √79 is irrational: its decimals never end or repeat.
| Value | 8.88819442 |
|---|---|
| Rounded | 8.9 (1 dp) · 8.89 (2 dp) · 8.888 (3 dp) |
| Simplest radical form | √79 |
| Perfect square? | No — between 8² = 64 and 9² = 81 |
| 79 squared | 6,241 |
Estimating √79 in your head
Start from the nearest perfect square, 9² = 81. 79 is 2 less than that. Divide the difference by twice the root, 18, and subtract it:
√79 ≈ 9 − 2 ÷ 18 ≈ 8.889
The true value is 8.8882, so the one-step estimate is off by less than 0.001. The estimate always comes out slightly high, and it is closest when 79 is near a perfect square. The method is explained in estimating square roots in your head.
Can √79 be simplified?
No. 79 has no perfect-square factor besides 1, so √79 is already in simplest radical form.
Frequently asked questions
What is the square root of 79?
The square root of 79 is about 8.8882. 79 is not a perfect square, so √79 is irrational: its decimals never end or repeat.
Is 79 a perfect square?
No. It lies between 8² = 64 and 9² = 81.
What is √79 in simplest radical form?
√79 is already in simplest form: 79 has no square factor other than 1.
Practise estimating square rootsNearby: √78 · √80 · all square roots to 150