What is the Square Root of 25424?

The square root of 25424 is 159.449051424. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√25424 = 159.449051424
CalculatedNon-perfect squareIrrational
Exact form√25424
Perfect squareNo
Number typeIrrational
Verification159.4490514242 ≈ 25424

On this page

How the answer is calculated

We solve x2 = 25424. The resulting value is x = 159.449051424.

Verification: 159.4490514242 ≈ 25424.

Simplified radical form

The square root of 25424 in simplified radical form is 4√1589.

This is equivalent to √25424, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal15925281
Upper or equal16025600

Nearby square roots

NumberSquare root
√25421159.4396437527
√25422159.4427797048
√25423159.4459155952
√25424159.449051424
√25425159.452187191
√25426159.4553228964
√25427159.4584585401

Number properties

Is 25424 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√25424 is irrational because 25424 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 25424.