Square root of 88
√88 ≈ 9.3808. The square root of 88 is about 9.3808, which simplifies to 2√22. 88 is not a perfect square, so √88 is irrational: its decimals never end or repeat.
| Value | 9.38083152 |
|---|---|
| Rounded | 9.4 (1 dp) · 9.38 (2 dp) · 9.381 (3 dp) |
| Simplest radical form | 2√22 |
| Perfect square? | No — between 9² = 81 and 10² = 100 |
| 88 squared | 7,744 |
Estimating √88 in your head
Start from the nearest perfect square, 9² = 81. 88 is 7 more than that. Divide the difference by twice the root, 18, and add it:
√88 ≈ 9 + 7 ÷ 18 ≈ 9.389
The true value is 9.3808, so the one-step estimate is off by about 0.008. The estimate always comes out slightly high, and it is closest when 88 is near a perfect square. The method is explained in estimating square roots in your head.
Simplifying √88
Find the largest perfect square that divides 88: it is 4, since 88 = 4 × 22. Take its root outside: √88 = √4 × √22 = 2√22.
Frequently asked questions
What is the square root of 88?
The square root of 88 is about 9.3808, which simplifies to 2√22. 88 is not a perfect square, so √88 is irrational: its decimals never end or repeat.
Is 88 a perfect square?
No. It lies between 9² = 81 and 10² = 100.
What is √88 in simplest radical form?
√88 = √(4 × 22) = 2√22.
Practise estimating square rootsNearby: √87 · √89 · all square roots to 150