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What is the Square Root of 25821?

The square root of 25821 is 160.6891408901. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√25821 = 160.6891408901
CalculatedNon-perfect squareIrrational
Exact form√25821
Perfect squareNo
Number typeIrrational
Verification160.68914089012 ≈ 25821

On this page

How the answer is calculated

We solve x2 = 25821. The resulting value is x = 160.6891408901.

Verification: 160.68914089012 ≈ 25821.

Simplified radical form

The square root of 25821 in simplified radical form is 3√2869.

This is equivalent to √25821, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16025600
Upper or equal16125921

Nearby square roots

NumberSquare root
√25818160.6798058251
√25819160.6829175737
√25820160.686029262
√25821160.6891408901
√25822160.6922524579
√25823160.6953639655
√25824160.6984754128

Number properties

Is 25821 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√25821 is irrational because 25821 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 25821.