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What is the Square Root of 27428?

The square root of 27428 is 165.6140090693. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27428 = 165.6140090693
CalculatedNon-perfect squareIrrational
Exact form√27428
Perfect squareNo
Number typeIrrational
Verification165.61400906932 ≈ 27428

On this page

How the answer is calculated

We solve x2 = 27428. The resulting value is x = 165.6140090693.

Verification: 165.61400906932 ≈ 27428.

Simplified radical form

The square root of 27428 in simplified radical form is 2√6857.

This is equivalent to √27428, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27425165.6049516168
√27426165.6079708227
√27427165.6109899735
√27428165.6140090693
√27429165.61702811
√27430165.6200470958
√27431165.6230660264

Number properties

Is 27428 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27428 is irrational because 27428 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 27428.