Square root of 43
√43 ≈ 6.5574. The square root of 43 is about 6.5574. 43 is not a perfect square, so √43 is irrational: its decimals never end or repeat.
| Value | 6.55743852 |
|---|---|
| Rounded | 6.6 (1 dp) · 6.56 (2 dp) · 6.557 (3 dp) |
| Simplest radical form | √43 |
| Perfect square? | No — between 6² = 36 and 7² = 49 |
| 43 squared | 1,849 |
Estimating √43 in your head
Start from the nearest perfect square, 7² = 49. 43 is 6 less than that. Divide the difference by twice the root, 14, and subtract it:
√43 ≈ 7 − 6 ÷ 14 ≈ 6.571
The true value is 6.5574, so the one-step estimate is off by about 0.014. The estimate always comes out slightly high, and it is closest when 43 is near a perfect square. The method is explained in estimating square roots in your head.
Can √43 be simplified?
No. 43 has no perfect-square factor besides 1, so √43 is already in simplest radical form.
Frequently asked questions
What is the square root of 43?
The square root of 43 is about 6.5574. 43 is not a perfect square, so √43 is irrational: its decimals never end or repeat.
Is 43 a perfect square?
No. It lies between 6² = 36 and 7² = 49.
What is √43 in simplest radical form?
√43 is already in simplest form: 43 has no square factor other than 1.
Practise estimating square rootsNearby: √42 · √44 · all square roots to 150