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What is the Square Root of 2464?

The square root of 2464 is 49.638694584. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2464 = 49.638694584
CalculatedNon-perfect squareIrrational
Exact form√2464
Perfect squareNo
Number typeIrrational
Verification49.6386945842 ≈ 2464

On this page

How the answer is calculated

We solve x2 = 2464. The resulting value is x = 49.638694584.

Verification: 49.6386945842 ≈ 2464.

Simplified radical form

The square root of 2464 in simplified radical form is 4√154.

This is equivalent to √2464, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal492401
Upper or equal502500

Nearby square roots

NumberSquare root
√246149.6084670192
√246249.6185449202
√246349.6286207747
√246449.638694584
√246549.6487663492
√246649.6588360717
√246749.6689037528

Number properties

Is 2464 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2464 is irrational because 2464 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 2464.