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What is the Square Root of 1724?

The square root of 1724 is 41.5210789841. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1724 = 41.5210789841
CalculatedNon-perfect squareIrrational
Exact form√1724
Perfect squareNo
Number typeIrrational
Verification41.52107898412 ≈ 1724

On this page

How the answer is calculated

We solve x2 = 1724. The resulting value is x = 41.5210789841.

Verification: 41.52107898412 ≈ 1724.

Simplified radical form

The square root of 1724 in simplified radical form is 2√431.

This is equivalent to √1724, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal411681
Upper or equal421764

Nearby square roots

NumberSquare root
√172141.4849370254
√172241.4969878425
√172341.509035161
√172441.5210789841
√172541.5331193146
√172641.5451561557
√172741.5571895104

Number properties

Is 1724 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1724 is irrational because 1724 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 1724.