Square roots·√114
√114 =
√114
≈ 10.677078

Square root of 114 — 10.677078 (√114)

Irrational

The square root of 114 is about 10.677078, or exactly √114. It lies between 10 and 11.

As a decimal
≈ 10.677078
Simplified surd
√114 = √114
Between
10 < √114 < 11
Squared
114² = 12996
Cube root
∛114 ≈ 4.848808

Nearby numbers

√111 = √111√112 = 4√7√113 = √113√115 = √115√116 = 2√29√117 = 3√13

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 114?

About 10.677078, or exactly √114.

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 114?

About 4.848808.