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What is the Square Root of 26325?

The square root of 26325 is 162.2498073959. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26325 = 162.2498073959
CalculatedNon-perfect squareIrrational
Exact form√26325
Perfect squareNo
Number typeIrrational
Verification162.24980739592 ≈ 26325

On this page

How the answer is calculated

We solve x2 = 26325. The resulting value is x = 162.2498073959.

Verification: 162.24980739592 ≈ 26325.

Simplified radical form

The square root of 26325 in simplified radical form is 45√13.

This is equivalent to √26325, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16226244
Upper or equal16326569

Nearby square roots

NumberSquare root
√26322162.2405621292
√26323162.2436439433
√26324162.2467256989
√26325162.2498073959
√26326162.2528890344
√26327162.2559706143
√26328162.2590521358

Number properties

Is 26325 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26325 is irrational because 26325 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 26325.