Square roots·√191
√191 =
√191
≈ 13.820275

Square root of 191 — 13.820275 (√191)

Irrational

The square root of 191 is about 13.820275, or exactly √191. It lies between 13 and 14.

As a decimal
≈ 13.820275
Simplified surd
√191 = √191
Between
13 < √191 < 14
Squared
191² = 36481
Cube root
∛191 ≈ 5.758965

Nearby numbers

√188 = 2√47√189 = 3√21√190 = √190√192 = 8√3√193 = √193√194 = √194

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 191?

About 13.820275, or exactly √191.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 13 and 14.

Q. What is the cube root of 191?

About 5.758965.