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What is the Square Root of 25760?

The square root of 25760 is 160.4992211819. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√25760 = 160.4992211819
CalculatedNon-perfect squareIrrational
Exact form√25760
Perfect squareNo
Number typeIrrational
Verification160.49922118192 ≈ 25760

On this page

How the answer is calculated

We solve x2 = 25760. The resulting value is x = 160.4992211819.

Verification: 160.49922118192 ≈ 25760.

Simplified radical form

The square root of 25760 in simplified radical form is 4√1610.

This is equivalent to √25760, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16025600
Upper or equal16125921

Nearby square roots

NumberSquare root
√25757160.48987507
√25758160.4929905011
√25759160.4961058718
√25760160.4992211819
√25761160.5023364316
√25762160.5054516208
√25763160.5085667496

Number properties

Is 25760 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√25760 is irrational because 25760 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 25760.