What is the Square Root of 9764?

The square root of 9764 is 98.8129546163. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√9764 = 98.8129546163
CalculatedNon-perfect squareIrrational
Exact form√9764
Perfect squareNo
Number typeIrrational
Verification98.81295461632 ≈ 9764

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How the answer is calculated

We solve x2 = 9764. The resulting value is x = 98.8129546163.

Verification: 98.81295461632 ≈ 9764.

Simplified radical form

The square root of 9764 in simplified radical form is 2√2441.

This is equivalent to √9764, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal989604
Upper or equal999801

Nearby square roots

NumberSquare root
√976198.7977732543
√976298.8028339675
√976398.8078944214
√976498.8129546163
√976598.818014552
√976698.8230742286
√976798.8281336462

Number properties

Is 9764 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√9764 is irrational because 9764 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 9764.