Square roots·√106
√106 =
√106
≈ 10.29563

Square root of 106 — 10.29563 (√106)

Irrational

The square root of 106 is about 10.29563, or exactly √106. It lies between 10 and 11.

As a decimal
≈ 10.29563
Simplified surd
√106 = √106
Between
10 < √106 < 11
Squared
106² = 11236
Cube root
∛106 ≈ 4.732623

Nearby numbers

√103 = √103√104 = 2√26√105 = √105√107 = √107√108 = 6√3√109 = √109

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 106?

About 10.29563, or exactly √106.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 10 and 11.

Q. What is the cube root of 106?

About 4.732623.