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What is the Square Root of 10000?

The square root of 10000 is 100. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√10000 = 100
ExactPerfect squareRational
Exact form100
Perfect squareYes
Number typeRational
Verification1002 ≈ 10000

On this page

How the answer is calculated

We solve x2 = 10000. The resulting value is x = 100.

Verification: 1002 ≈ 10000.

Simplified radical form

The square root of 10000 in simplified radical form is 100.

There are no square factors that can be taken outside the radical, so 100 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal10010000
Upper or equal10010000

Nearby square roots

NumberSquare root
√999799.9849988748
√999899.9899994999
√999999.994999875
√10000100
√10001100.004999875
√10002100.0099995001
√10003100.0149988752

Number properties

Is 10000 a perfect square?

Yes. Its square root is the whole number 100.

Is the square root rational or irrational?

100 is rational because it is a whole number.

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 10000.