Square roots·√57
√57 =
√57
≈ 7.549834

Square root of 57 — 7.549834 (√57)

Irrational

The square root of 57 is about 7.549834, or exactly √57. It lies between 7 and 8.

As a decimal
≈ 7.549834
Simplified surd
√57 = √57
Between
7 < √57 < 8
Squared
57² = 3249
Cube root
∛57 ≈ 3.848501

Nearby numbers

√54 = 3√6√55 = √55√56 = 2√14√58 = √58√59 = √59√60 = 2√15

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 57?

About 7.549834, or exactly √57.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 7 and 8.

Q. What is the cube root of 57?

About 3.848501.