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What is the Square Root of 15382?

The square root of 15382 is 124.0241911887. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√15382 = 124.0241911887
CalculatedNon-perfect squareIrrational
Exact form√15382
Perfect squareNo
Number typeIrrational
Verification124.02419118872 ≈ 15382

On this page

How the answer is calculated

We solve x2 = 15382. The resulting value is x = 124.0241911887.

Verification: 124.02419118872 ≈ 15382.

Simplified radical form

The square root of 15382 in simplified radical form is √15382.

There are no square factors that can be taken outside the radical, so √15382 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12415376
Upper or equal12515625

Nearby square roots

NumberSquare root
√15379124.0120961842
√15380124.0161279834
√15381124.0201596516
√15382124.0241911887
√15383124.0282225947
√15384124.0322538697
√15385124.0362850137

Number properties

Is 15382 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√15382 is irrational because 15382 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 15382.