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What is the Square Root of 172?

The square root of 172 is 13.1148770486. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√172 = 13.1148770486
CalculatedNon-perfect squareIrrational
Exact form√172
Perfect squareNo
Number typeIrrational
Verification13.11487704862 ≈ 172

On this page

How the answer is calculated

We solve x2 = 172. The resulting value is x = 13.1148770486.

Verification: 13.11487704862 ≈ 172.

Simplified radical form

The square root of 172 in simplified radical form is 2√43.

This is equivalent to √172, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13169
Upper or equal14196

Nearby square roots

NumberSquare root
√16913
√17013.0384048104
√17113.0766968306
√17213.1148770486
√17313.152946438
√17413.1909059583
√17513.2287565553

Number properties

Is 172 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√172 is irrational because 172 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 172.