Square roots·√174
√174 =
√174
≈ 13.190906

Square root of 174 — 13.190906 (√174)

Irrational

The square root of 174 is about 13.190906, or exactly √174. It lies between 13 and 14.

As a decimal
≈ 13.190906
Simplified surd
√174 = √174
Between
13 < √174 < 14
Squared
174² = 30276
Cube root
∛174 ≈ 5.58277

Nearby numbers

√171 = 3√19√172 = 2√43√173 = √173√175 = 5√7√176 = 4√11√177 = √177

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 174?

About 13.190906, or exactly √174.

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 174?

About 5.58277.