Square roots·√58
√58 =
√58
≈ 7.615773

Square root of 58 — 7.615773 (√58)

Irrational

The square root of 58 is about 7.615773, or exactly √58. It lies between 7 and 8.

As a decimal
≈ 7.615773
Simplified surd
√58 = √58
Between
7 < √58 < 8
Squared
58² = 3364
Cube root
∛58 ≈ 3.870877

Nearby numbers

√55 = √55√56 = 2√14√57 = √57√59 = √59√60 = 2√15√61 = √61

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 58?

About 7.615773, or exactly √58.

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 58?

About 3.870877.