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What is the Square Root of 684?

The square root of 684 is 26.1533936612. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√684 = 26.1533936612
CalculatedNon-perfect squareIrrational
Exact form√684
Perfect squareNo
Number typeIrrational
Verification26.15339366122 ≈ 684

On this page

How the answer is calculated

We solve x2 = 684. The resulting value is x = 26.1533936612.

Verification: 26.15339366122 ≈ 684.

Simplified radical form

The square root of 684 in simplified radical form is 6√19.

This is equivalent to √684, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal26676
Upper or equal27729

Nearby square roots

NumberSquare root
√68126.0959767014
√68226.1151297144
√68326.1342686907
√68426.1533936612
√68526.1725046566
√68626.1916017074
√68726.2106848442

Number properties

Is 684 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√684 is irrational because 684 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 684.