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What is the Square Root of 14513?

The square root of 14513 is 120.4699132564. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√14513 = 120.4699132564
CalculatedNon-perfect squareIrrational
Exact form√14513
Perfect squareNo
Number typeIrrational
Verification120.46991325642 ≈ 14513

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How the answer is calculated

We solve x2 = 14513. The resulting value is x = 120.4699132564.

Verification: 120.46991325642 ≈ 14513.

Simplified radical form

The square root of 14513 in simplified radical form is √14513.

There are no square factors that can be taken outside the radical, so √14513 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12014400
Upper or equal12114641

Nearby square roots

NumberSquare root
√14510120.4574613712
√14511120.4616121426
√14512120.465762771
√14513120.4699132564
√14514120.4740635988
√14515120.4782137982
√14516120.4823638546

Number properties

Is 14513 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√14513 is irrational because 14513 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 14513.