Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 15409?

The square root of 15409 is 124.1329931968. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15409 = 124.1329931968
CalculatedNon-perfect squareIrrational
Exact form√15409
Perfect squareNo
Number typeIrrational
Verification124.13299319682 ≈ 15409

On this page

How the answer is calculated

We solve x2 = 15409. The resulting value is x = 124.1329931968.

Verification: 124.13299319682 ≈ 15409.

Simplified radical form

The square root of 15409 in simplified radical form is √15409.

There are no square factors that can be taken outside the radical, so √15409 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12415376
Upper or equal12515625

Nearby square roots

NumberSquare root
√15406124.1209087946
√15407124.1249370594
√15408124.1289651935
√15409124.1329931968
√15410124.1370210695
√15411124.1410488114
√15412124.1450764227

Number properties

Is 15409 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15409 is irrational because 15409 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 15409.