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What is the Square Root of 26509?

The square root of 26509 is 162.8158468946. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26509 = 162.8158468946
CalculatedNon-perfect squareIrrational
Exact form√26509
Perfect squareNo
Number typeIrrational
Verification162.81584689462 ≈ 26509

On this page

How the answer is calculated

We solve x2 = 26509. The resulting value is x = 162.8158468946.

Verification: 162.81584689462 ≈ 26509.

Simplified radical form

The square root of 26509 in simplified radical form is 7√541.

This is equivalent to √26509, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16226244
Upper or equal16326569

Nearby square roots

NumberSquare root
√26506162.8066337715
√26507162.8097048704
√26508162.8127759115
√26509162.8158468946
√26510162.8189178198
√26511162.821988687
√26512162.8250594964

Number properties

Is 26509 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26509 is irrational because 26509 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 26509.