Square root of 62
√62 ≈ 7.874. The square root of 62 is about 7.874. 62 is not a perfect square, so √62 is irrational: its decimals never end or repeat.
| Value | 7.87400787 |
|---|---|
| Rounded | 7.9 (1 dp) · 7.87 (2 dp) · 7.874 (3 dp) |
| Simplest radical form | √62 |
| Perfect square? | No — between 7² = 49 and 8² = 64 |
| 62 squared | 3,844 |
Estimating √62 in your head
Start from the nearest perfect square, 8² = 64. 62 is 2 less than that. Divide the difference by twice the root, 16, and subtract it:
√62 ≈ 8 − 2 ÷ 16 ≈ 7.875
The true value is 7.874, so the one-step estimate is off by less than 0.001. The estimate always comes out slightly high, and it is closest when 62 is near a perfect square. The method is explained in estimating square roots in your head.
Can √62 be simplified?
No. 62 has no perfect-square factor besides 1, so √62 is already in simplest radical form.
Frequently asked questions
What is the square root of 62?
The square root of 62 is about 7.874. 62 is not a perfect square, so √62 is irrational: its decimals never end or repeat.
Is 62 a perfect square?
No. It lies between 7² = 49 and 8² = 64.
What is √62 in simplest radical form?
√62 is already in simplest form: 62 has no square factor other than 1.
Practise estimating square rootsNearby: √61 · √63 · all square roots to 150