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What is the Square Root of 26984?

The square root of 26984 is 164.268073587. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26984 = 164.268073587
CalculatedNon-perfect squareIrrational
Exact form√26984
Perfect squareNo
Number typeIrrational
Verification164.2680735872 ≈ 26984

On this page

How the answer is calculated

We solve x2 = 26984. The resulting value is x = 164.268073587.

Verification: 164.2680735872 ≈ 26984.

Simplified radical form

The square root of 26984 in simplified radical form is 2√6746.

This is equivalent to √26984, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√26981164.2589419179
√26982164.261985864
√26983164.2650297537
√26984164.268073587
√26985164.2711173639
√26986164.2741610845
√26987164.2772047486

Number properties

Is 26984 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26984 is irrational because 26984 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 26984.