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What is the Square Root of 27152?

The square root of 27152 is 164.7786393924. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27152 = 164.7786393924
CalculatedNon-perfect squareIrrational
Exact form√27152
Perfect squareNo
Number typeIrrational
Verification164.77863939242 ≈ 27152

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How the answer is calculated

We solve x2 = 27152. The resulting value is x = 164.7786393924.

Verification: 164.77863939242 ≈ 27152.

Simplified radical form

The square root of 27152 in simplified radical form is 4√1697.

This is equivalent to √27152, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√27149164.7695360193
√27150164.7725705328
√27151164.7756049905
√27152164.7786393924
√27153164.7816737383
√27154164.7847080284
√27155164.7877422626

Number properties

Is 27152 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27152 is irrational because 27152 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 27152.