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What is the Square Root of 16747?

The square root of 16747 is 129.4102005253. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16747 = 129.4102005253
CalculatedNon-perfect squareIrrational
Exact form√16747
Perfect squareNo
Number typeIrrational
Verification129.41020052532 ≈ 16747

On this page

How the answer is calculated

We solve x2 = 16747. The resulting value is x = 129.4102005253.

Verification: 129.41020052532 ≈ 16747.

Simplified radical form

The square root of 16747 in simplified radical form is √16747.

There are no square factors that can be taken outside the radical, so √16747 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16744129.398608957
√16745129.4024729285
√16746129.4063367846
√16747129.4102005253
√16748129.4140641507
√16749129.4179276607
√16750129.4217910554

Number properties

Is 16747 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16747 is irrational because 16747 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 16747.