Square roots·√59
√59 =
√59
≈ 7.681146

Square root of 59 — 7.681146 (√59)

Irrational

The square root of 59 is about 7.681146, or exactly √59. It lies between 7 and 8.

As a decimal
≈ 7.681146
Simplified surd
√59 = √59
Between
7 < √59 < 8
Squared
59² = 3481
Cube root
∛59 ≈ 3.892996

Nearby numbers

√56 = 2√14√57 = √57√58 = √58√60 = 2√15√61 = √61√62 = √62

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 59?

About 7.681146, or exactly √59.

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 59?

About 3.892996.