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What is the Square Root of 674?

The square root of 674 is 25.9615099715. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√674 = 25.9615099715
CalculatedNon-perfect squareIrrational
Exact form√674
Perfect squareNo
Number typeIrrational
Verification25.96150997152 ≈ 674

On this page

How the answer is calculated

We solve x2 = 674. The resulting value is x = 25.9615099715.

Verification: 25.96150997152 ≈ 674.

Simplified radical form

The square root of 674 in simplified radical form is √674.

There are no square factors that can be taken outside the radical, so √674 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal25625
Upper or equal26676

Nearby square roots

NumberSquare root
√67125.903667694
√67225.9229627936
√67325.9422435421
√67425.9615099715
√67525.9807621135
√67626
√67726.0192236625

Number properties

Is 674 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√674 is irrational because 674 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 674.