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What is the Square Root of 5345?

The square root of 5345 is 73.1095069057. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5345 = 73.1095069057
CalculatedNon-perfect squareIrrational
Exact form√5345
Perfect squareNo
Number typeIrrational
Verification73.10950690572 ≈ 5345

On this page

How the answer is calculated

We solve x2 = 5345. The resulting value is x = 73.1095069057.

Verification: 73.10950690572 ≈ 5345.

Simplified radical form

The square root of 5345 in simplified radical form is √5345.

There are no square factors that can be taken outside the radical, so √5345 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal735329
Upper or equal745476

Nearby square roots

NumberSquare root
√534273.0889868585
√534373.0958275143
√534473.10266753
√534573.1095069057
√534673.1163456417
√534773.1231837381
√534873.1300211951

Number properties

Is 5345 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5345 is irrational because 5345 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 5345.