Square roots·√133
√133 =
√133
≈ 11.532563

Square root of 133 — 11.532563 (√133)

Irrational

The square root of 133 is about 11.532563, or exactly √133. It lies between 11 and 12.

As a decimal
≈ 11.532563
Simplified surd
√133 = √133
Between
11 < √133 < 12
Squared
133² = 17689
Cube root
∛133 ≈ 5.104469

Nearby numbers

√130 = √130√131 = √131√132 = 2√33√134 = √134√135 = 3√15√136 = 2√34

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 133?

About 11.532563, or exactly √133.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 11 and 12.

Q. What is the cube root of 133?

About 5.104469.