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What is the Square Root of 1251?

The square root of 1251 is 35.3694783677. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1251 = 35.3694783677
CalculatedNon-perfect squareIrrational
Exact form√1251
Perfect squareNo
Number typeIrrational
Verification35.36947836772 ≈ 1251

On this page

How the answer is calculated

We solve x2 = 1251. The resulting value is x = 35.3694783677.

Verification: 35.36947836772 ≈ 1251.

Simplified radical form

The square root of 1251 in simplified radical form is 3√139.

This is equivalent to √1251, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal351225
Upper or equal361296

Nearby square roots

NumberSquare root
√124835.3270434653
√124935.3411940941
√125035.3553390593
√125135.3694783677
√125235.3836120259
√125335.3977400409
√125435.4118624193

Number properties

Is 1251 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1251 is irrational because 1251 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 1251.