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What is the Square Root of 2764?

The square root of 2764 is 52.5737577124. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2764 = 52.5737577124
CalculatedNon-perfect squareIrrational
Exact form√2764
Perfect squareNo
Number typeIrrational
Verification52.57375771242 ≈ 2764

On this page

How the answer is calculated

We solve x2 = 2764. The resulting value is x = 52.5737577124.

Verification: 52.57375771242 ≈ 2764.

Simplified radical form

The square root of 2764 in simplified radical form is 2√691.

This is equivalent to √2764, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal522704
Upper or equal532809

Nearby square roots

NumberSquare root
√276152.5452186217
√276252.5547333739
√276352.5642464038
√276452.5737577124
√276552.5832673005
√276652.5927751692
√276752.6022813193

Number properties

Is 2764 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2764 is irrational because 2764 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 2764.