Square roots·√170
√170 =
√170
≈ 13.038405

Square root of 170 — 13.038405 (√170)

Irrational

The square root of 170 is about 13.038405, or exactly √170. It lies between 13 and 14.

As a decimal
≈ 13.038405
Simplified surd
√170 = √170
Between
13 < √170 < 14
Squared
170² = 28900
Cube root
∛170 ≈ 5.539658

Nearby numbers

√167 = √167√168 = 2√42√169 = 13√171 = 3√19√172 = 2√43√173 = √173

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 170?

About 13.038405, or exactly √170.

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 170?

About 5.539658.