Square roots·√22
√22 =
√22
≈ 4.690416

Square root of 22 — 4.690416 (√22)

Irrational

The square root of 22 is about 4.690416, or exactly √22. It lies between 4 and 5.

As a decimal
≈ 4.690416
Simplified surd
√22 = √22
Between
4 < √22 < 5
Squared
22² = 484
Cube root
∛22 ≈ 2.802039

Nearby numbers

√19 = √19√20 = 2√5√21 = √21√23 = √23√24 = 2√6√25 = 5

From 1 to 200

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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 22?

About 4.690416, or exactly √22.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 4 and 5.

Q. What is the cube root of 22?

About 2.802039.