Square roots·√61
√61 =
√61
≈ 7.81025

Square root of 61 — 7.81025 (√61)

Irrational

The square root of 61 is about 7.81025, or exactly √61. It lies between 7 and 8.

As a decimal
≈ 7.81025
Simplified surd
√61 = √61
Between
7 < √61 < 8
Squared
61² = 3721
Cube root
∛61 ≈ 3.936497

Nearby numbers

√58 = √58√59 = √59√60 = 2√15√62 = √62√63 = 3√7√64 = 8

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 61?

About 7.81025, or exactly √61.

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 61?

About 3.936497.