Square roots·√17
√17 =
√17
≈ 4.123106

Square root of 17 — 4.123106 (√17)

Irrational

The square root of 17 is about 4.123106, or exactly √17. It lies between 4 and 5.

As a decimal
≈ 4.123106
Simplified surd
√17 = √17
Between
4 < √17 < 5
Squared
17² = 289
Cube root
∛17 ≈ 2.571282

Nearby numbers

√14 = √14√15 = √15√16 = 4√18 = 3√2√19 = √19√20 = 2√5

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 17?

About 4.123106, or exactly √17.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 4 and 5.

Q. What is the cube root of 17?

About 2.571282.