Square roots·√197
√197 =
√197
≈ 14.035669

Square root of 197 — 14.035669 (√197)

Irrational

The square root of 197 is about 14.035669, or exactly √197. It lies between 14 and 15.

As a decimal
≈ 14.035669
Simplified surd
√197 = √197
Between
14 < √197 < 15
Squared
197² = 38809
Cube root
∛197 ≈ 5.818648

Nearby numbers

√194 = √194√195 = √195√196 = 14√198 = 3√22√199 = √199√200 = 10√2

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 197?

About 14.035669, or exactly √197.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 14 and 15.

Q. What is the cube root of 197?

About 5.818648.