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What is the Square Root of 25664?

The square root of 25664 is 160.199875156. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√25664 = 160.199875156
CalculatedNon-perfect squareIrrational
Exact form√25664
Perfect squareNo
Number typeIrrational
Verification160.1998751562 ≈ 25664

On this page

How the answer is calculated

We solve x2 = 25664. The resulting value is x = 160.199875156.

Verification: 160.1998751562 ≈ 25664.

Simplified radical form

The square root of 25664 in simplified radical form is 8√401.

This is equivalent to √25664, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16025600
Upper or equal16125921

Nearby square roots

NumberSquare root
√25661160.1905115792
√25662160.1936328323
√25663160.1967540245
√25664160.199875156
√25665160.2029962267
√25666160.2061172365
√25667160.2092381856

Number properties

Is 25664 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√25664 is irrational because 25664 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 25664.