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What is the Square Root of 15072?

The square root of 15072 is 122.7680740258. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15072 = 122.7680740258
CalculatedNon-perfect squareIrrational
Exact form√15072
Perfect squareNo
Number typeIrrational
Verification122.76807402582 ≈ 15072

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How the answer is calculated

We solve x2 = 15072. The resulting value is x = 122.7680740258.

Verification: 122.76807402582 ≈ 15072.

Simplified radical form

The square root of 15072 in simplified radical form is 4√942.

This is equivalent to √15072, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12214884
Upper or equal12315129

Nearby square roots

NumberSquare root
√15069122.7558552575
√15070122.7599283154
√15071122.7640012381
√15072122.7680740258
√15073122.7721466783
√15074122.7762191957
√15075122.7802915781

Number properties

Is 15072 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15072 is irrational because 15072 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 15072.