Square root of 35
√35 ≈ 5.9161. The square root of 35 is about 5.9161. 35 is not a perfect square, so √35 is irrational: its decimals never end or repeat.
| Value | 5.91607978 |
|---|---|
| Rounded | 5.9 (1 dp) · 5.92 (2 dp) · 5.916 (3 dp) |
| Simplest radical form | √35 |
| Perfect square? | No — between 5² = 25 and 6² = 36 |
| 35 squared | 1,225 |
Estimating √35 in your head
Start from the nearest perfect square, 6² = 36. 35 is 1 less than that. Divide the difference by twice the root, 12, and subtract it:
√35 ≈ 6 − 1 ÷ 12 ≈ 5.917
The true value is 5.9161, so the one-step estimate is off by less than 0.001. The estimate always comes out slightly high, and it is closest when 35 is near a perfect square. The method is explained in estimating square roots in your head.
Can √35 be simplified?
No. 35 has no perfect-square factor besides 1, so √35 is already in simplest radical form.
Frequently asked questions
What is the square root of 35?
The square root of 35 is about 5.9161. 35 is not a perfect square, so √35 is irrational: its decimals never end or repeat.
Is 35 a perfect square?
No. It lies between 5² = 25 and 6² = 36.
What is √35 in simplest radical form?
√35 is already in simplest form: 35 has no square factor other than 1.
Practise estimating square rootsNearby: √34 · √36 · all square roots to 150