Square roots·√107
√107 =
√107
≈ 10.34408

Square root of 107 — 10.34408 (√107)

Irrational

The square root of 107 is about 10.34408, or exactly √107. It lies between 10 and 11.

As a decimal
≈ 10.34408
Simplified surd
√107 = √107
Between
10 < √107 < 11
Squared
107² = 11449
Cube root
∛107 ≈ 4.747459

Nearby numbers

√104 = 2√26√105 = √105√106 = √106√108 = 6√3√109 = √109√110 = √110

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 107?

About 10.34408, or exactly √107.

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 107?

About 4.747459.