Square roots·44
44 =
2√11
≈ 6.63325

Square root of 44 — 6.63325 (2√11)

Irrational

The square root of 44 is about 6.63325, or exactly 2√11. It lies between 6 and 7.

As a decimal
≈ 6.63325
Simplified surd
√44 = 2√11
Between
6 < √44 < 7
Squared
44² = 1936
Cube root
∛44 ≈ 3.530348

How the surd is simplified

Pull out the largest square factor. Since 50 = 25 × 2, the root of 25 comes out as 5 and the 2 stays behind: 5√2.

44 = √(4 × 11) = 2√11

Nearby numbers

From 1 to 200

How to read this

  • The decimal is rounded; the surd form is the exact value.
  • Pulling out a square factor simplifies the surd — √50 = 5√2.
  • If the number is not a perfect square, the decimal never ends (irrational).
  • Knowing which two integers it sits between is enough to estimate in your head.

Frequently asked questions

Q. What is the square root of 44?

About 6.63325, or exactly 2√11.

Q. Can the surd be simplified?

Yes: 44 = 4 × 11, so 2 comes out and it becomes 2√11.

Q. Between which integers does it fall?

Between 6 and 7.

Q. What is the cube root of 44?

About 3.530348.