What is the Square Root of 16245?

The square root of 16245 is 127.4558747175. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16245 = 127.4558747175
CalculatedNon-perfect squareIrrational
Exact form√16245
Perfect squareNo
Number typeIrrational
Verification127.45587471752 ≈ 16245

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How the answer is calculated

We solve x2 = 16245. The resulting value is x = 127.4558747175.

Verification: 127.45587471752 ≈ 16245.

Simplified radical form

The square root of 16245 in simplified radical form is 57√5.

This is equivalent to √16245, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16242127.4441053953
√16243127.4480286234
√16244127.4519517308
√16245127.4558747175
√16246127.4597975834
√16247127.4637203286
√16248127.467642953

Number properties

Is 16245 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16245 is irrational because 16245 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 16245.