What is the Square Root of 1790?

The square root of 1790 is 42.3083916026. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1790 = 42.3083916026
CalculatedNon-perfect squareIrrational
Exact form√1790
Perfect squareNo
Number typeIrrational
Verification42.30839160262 ≈ 1790

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How the answer is calculated

We solve x2 = 1790. The resulting value is x = 42.3083916026.

Verification: 42.30839160262 ≈ 1790.

Simplified radical form

The square root of 1790 in simplified radical form is √1790.

There are no square factors that can be taken outside the radical, so √1790 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal421764
Upper or equal431849

Nearby square roots

NumberSquare root
√178742.2729227757
√178842.2847490237
√178942.2965719651
√179042.3083916026
√179142.320207939
√179242.332020977
√179342.3438307195

Number properties

Is 1790 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1790 is irrational because 1790 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 1790.