Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 20509?

The square root of 20509 is 143.2096365473. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20509 = 143.2096365473
CalculatedNon-perfect squareIrrational
Exact form√20509
Perfect squareNo
Number typeIrrational
Verification143.20963654732 ≈ 20509

On this page

How the answer is calculated

We solve x2 = 20509. The resulting value is x = 143.2096365473.

Verification: 143.20963654732 ≈ 20509.

Simplified radical form

The square root of 20509 in simplified radical form is √20509.

There are no square factors that can be taken outside the radical, so √20509 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14320449
Upper or equal14420736

Nearby square roots

NumberSquare root
√20506143.1991620087
√20507143.2026536067
√20508143.2061451195
√20509143.2096365473
√20510143.2131278899
√20511143.2166191474
√20512143.2201103197

Number properties

Is 20509 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20509 is irrational because 20509 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 20509.