Square roots·√118
√118 =
√118
≈ 10.86278

Square root of 118 — 10.86278 (√118)

Irrational

The square root of 118 is about 10.86278, or exactly √118. It lies between 10 and 11.

As a decimal
≈ 10.86278
Simplified surd
√118 = √118
Between
10 < √118 < 11
Squared
118² = 13924
Cube root
∛118 ≈ 4.904868

Nearby numbers

√115 = √115√116 = 2√29√117 = 3√13√119 = √119√120 = 2√30√121 = 11

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 118?

About 10.86278, or exactly √118.

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 118?

About 4.904868.