Square roots·√19
√19 =
√19
≈ 4.358899

Square root of 19 — 4.358899 (√19)

Irrational

The square root of 19 is about 4.358899, or exactly √19. It lies between 4 and 5.

As a decimal
≈ 4.358899
Simplified surd
√19 = √19
Between
4 < √19 < 5
Squared
19² = 361
Cube root
∛19 ≈ 2.668402

Nearby numbers

√16 = 4√17 = √17√18 = 3√2√20 = 2√5√21 = √21√22 = √22

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 19?

About 4.358899, or exactly √19.

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 19?

About 2.668402.