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What is the Square Root of 16364?

The square root of 16364 is 127.9218511436. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16364 = 127.9218511436
CalculatedNon-perfect squareIrrational
Exact form√16364
Perfect squareNo
Number typeIrrational
Verification127.92185114362 ≈ 16364

On this page

How the answer is calculated

We solve x2 = 16364. The resulting value is x = 127.9218511436.

Verification: 127.92185114362 ≈ 16364.

Simplified radical form

The square root of 16364 in simplified radical form is 2√4091.

This is equivalent to √16364, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16361127.910124697
√16362127.914033632
√16363127.9179424475
√16364127.9218511436
√16365127.9257597202
√16366127.9296681775
√16367127.9335765153

Number properties

Is 16364 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16364 is irrational because 16364 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 16364.