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What is the Square Root of 16361?

The square root of 16361 is 127.910124697. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16361 = 127.910124697
CalculatedNon-perfect squareIrrational
Exact form√16361
Perfect squareNo
Number typeIrrational
Verification127.9101246972 ≈ 16361

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How the answer is calculated

We solve x2 = 16361. The resulting value is x = 127.910124697.

Verification: 127.9101246972 ≈ 16361.

Simplified radical form

The square root of 16361 in simplified radical form is √16361.

There are no square factors that can be taken outside the radical, so √16361 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16358127.8983971753
√16359127.9023064686
√16360127.9062156426
√16361127.910124697
√16362127.914033632
√16363127.9179424475
√16364127.9218511436

Number properties

Is 16361 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16361 is irrational because 16361 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 16361.