Square root of 44
√44 ≈ 6.6332. The square root of 44 is about 6.6332, which simplifies to 2√11. 44 is not a perfect square, so √44 is irrational: its decimals never end or repeat.
| Value | 6.63324958 |
|---|---|
| Rounded | 6.6 (1 dp) · 6.63 (2 dp) · 6.633 (3 dp) |
| Simplest radical form | 2√11 |
| Perfect square? | No — between 6² = 36 and 7² = 49 |
| 44 squared | 1,936 |
Estimating √44 in your head
Start from the nearest perfect square, 7² = 49. 44 is 5 less than that. Divide the difference by twice the root, 14, and subtract it:
√44 ≈ 7 − 5 ÷ 14 ≈ 6.643
The true value is 6.6332, so the one-step estimate is off by about 0.01. The estimate always comes out slightly high, and it is closest when 44 is near a perfect square. The method is explained in estimating square roots in your head.
Simplifying √44
Find the largest perfect square that divides 44: it is 4, since 44 = 4 × 11. Take its root outside: √44 = √4 × √11 = 2√11.
Frequently asked questions
What is the square root of 44?
The square root of 44 is about 6.6332, which simplifies to 2√11. 44 is not a perfect square, so √44 is irrational: its decimals never end or repeat.
Is 44 a perfect square?
No. It lies between 6² = 36 and 7² = 49.
What is √44 in simplest radical form?
√44 = √(4 × 11) = 2√11.
Practise estimating square rootsNearby: √43 · √45 · all square roots to 150