What is the Square Root of 25964?

The square root of 25964 is 161.1334850365. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√25964 = 161.1334850365
CalculatedNon-perfect squareIrrational
Exact form√25964
Perfect squareNo
Number typeIrrational
Verification161.13348503652 ≈ 25964

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How the answer is calculated

We solve x2 = 25964. The resulting value is x = 161.1334850365.

Verification: 161.13348503652 ≈ 25964.

Simplified radical form

The square root of 25964 in simplified radical form is 2√6491.

This is equivalent to √25964, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16125921
Upper or equal16226244

Nearby square roots

NumberSquare root
√25961161.1241757155
√25962161.1272788823
√25963161.1303819892
√25964161.1334850365
√25965161.1365880239
√25966161.1396909517
√25967161.1427938196

Number properties

Is 25964 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√25964 is irrational because 25964 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 25964.