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What is the Square Root of 17764?

The square root of 17764 is 133.2816566524. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17764 = 133.2816566524
CalculatedNon-perfect squareIrrational
Exact form√17764
Perfect squareNo
Number typeIrrational
Verification133.28165665242 ≈ 17764

On this page

How the answer is calculated

We solve x2 = 17764. The resulting value is x = 133.2816566524.

Verification: 133.28165665242 ≈ 17764.

Simplified radical form

The square root of 17764 in simplified radical form is 2√4441.

This is equivalent to √17764, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13317689
Upper or equal13417956

Nearby square roots

NumberSquare root
√17761133.2704018153
√17762133.2741535332
√17763133.2779051456
√17764133.2816566524
√17765133.2854080535
√17766133.2891593491
√17767133.2929105392

Number properties

Is 17764 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17764 is irrational because 17764 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 17764.