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What is the Square Root of 5563?

The square root of 5563 is 74.5855213832. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5563 = 74.5855213832
CalculatedNon-perfect squareIrrational
Exact form√5563
Perfect squareNo
Number typeIrrational
Verification74.58552138322 ≈ 5563

On this page

How the answer is calculated

We solve x2 = 5563. The resulting value is x = 74.5855213832.

Verification: 74.58552138322 ≈ 5563.

Simplified radical form

The square root of 5563 in simplified radical form is √5563.

There are no square factors that can be taken outside the radical, so √5563 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal745476
Upper or equal755625

Nearby square roots

NumberSquare root
√556074.5654075292
√556174.57211275
√556274.5788173679
√556374.5855213832
√556474.5922247959
√556574.5989276062
√556674.6056298144

Number properties

Is 5563 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5563 is irrational because 5563 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 5563.