Square roots·√159
√159 =
√159
≈ 12.60952

Square root of 159 — 12.60952 (√159)

Irrational

The square root of 159 is about 12.60952, or exactly √159. It lies between 12 and 13.

As a decimal
≈ 12.60952
Simplified surd
√159 = √159
Between
12 < √159 < 13
Squared
159² = 25281
Cube root
∛159 ≈ 5.417502

Nearby numbers

√156 = 2√39√157 = √157√158 = √158√160 = 4√10√161 = √161√162 = 9√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 159?

About 12.60952, or exactly √159.

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 159?

About 5.417502.