Square roots·√205
√205 =
√205
≈ 14.317821

Square root of 205 — 14.317821 (√205)

Irrational

The square root of 205 is about 14.317821, or exactly √205. It lies between 14 and 15.

As a decimal
≈ 14.317821
Simplified surd
√205 = √205
Between
14 < √205 < 15
Squared
205² = 42025
Cube root
∛205 ≈ 5.896369

Nearby numbers

√202 = √202√203 = √203√204 = 2√51√206 = √206√207 = 3√23√208 = 4√13

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 205?

About 14.317821, or exactly √205.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 14 and 15.

Q. What is the cube root of 205?

About 5.896369.