Square roots·√115
√115 =
√115
≈ 10.723805

Square root of 115 — 10.723805 (√115)

Irrational

The square root of 115 is about 10.723805, or exactly √115. It lies between 10 and 11.

As a decimal
≈ 10.723805
Simplified surd
√115 = √115
Between
10 < √115 < 11
Squared
115² = 13225
Cube root
∛115 ≈ 4.862944

Nearby numbers

√112 = 4√7√113 = √113√114 = √114√116 = 2√29√117 = 3√13√118 = √118

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 115?

About 10.723805, or exactly √115.

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 115?

About 4.862944.