Square roots·√5
√5 =
√5
≈ 2.236068

Square root of 5 — 2.236068 (√5)

Irrational

The square root of 5 is about 2.236068, or exactly √5. It lies between 2 and 3.

As a decimal
≈ 2.236068
Simplified surd
√5 = √5
Between
2 < √5 < 3
Squared
5² = 25
Cube root
∛5 ≈ 1.709976

Nearby numbers

√2 = √2√3 = √3√4 = 2√6 = √6√7 = √7√8 = 2√2

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 5?

About 2.236068, or exactly √5.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 2 and 3.

Q. What is the cube root of 5?

About 1.709976.