Square roots·√157
√157 =
√157
≈ 12.529964

Square root of 157 — 12.529964 (√157)

Irrational

The square root of 157 is about 12.529964, or exactly √157. It lies between 12 and 13.

As a decimal
≈ 12.529964
Simplified surd
√157 = √157
Between
12 < √157 < 13
Squared
157² = 24649
Cube root
∛157 ≈ 5.394691

Nearby numbers

√154 = √154√155 = √155√156 = 2√39√158 = √158√159 = √159√160 = 4√10

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 157?

About 12.529964, or exactly √157.

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 157?

About 5.394691.