Square roots·√163
√163 =
√163
≈ 12.767145

Square root of 163 — 12.767145 (√163)

Irrational

The square root of 163 is about 12.767145, or exactly √163. It lies between 12 and 13.

As a decimal
≈ 12.767145
Simplified surd
√163 = √163
Between
12 < √163 < 13
Squared
163² = 26569
Cube root
∛163 ≈ 5.462556

Nearby numbers

√160 = 4√10√161 = √161√162 = 9√2√164 = 2√41√165 = √165√166 = √166

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 163?

About 12.767145, or exactly √163.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 12 and 13.

Q. What is the cube root of 163?

About 5.462556.