Square roots·√33
√33 =
√33
≈ 5.744563

Square root of 33 — 5.744563 (√33)

Irrational

The square root of 33 is about 5.744563, or exactly √33. It lies between 5 and 6.

As a decimal
≈ 5.744563
Simplified surd
√33 = √33
Between
5 < √33 < 6
Squared
33² = 1089
Cube root
∛33 ≈ 3.207534

Nearby numbers

√30 = √30√31 = √31√32 = 4√2√34 = √34√35 = √35√36 = 6

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 33?

About 5.744563, or exactly √33.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 5 and 6.

Q. What is the cube root of 33?

About 3.207534.