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What is the Square Root of 6364?

The square root of 6364 is 79.7746827007. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6364 = 79.7746827007
CalculatedNon-perfect squareIrrational
Exact form√6364
Perfect squareNo
Number typeIrrational
Verification79.77468270072 ≈ 6364

On this page

How the answer is calculated

We solve x2 = 6364. The resulting value is x = 79.7746827007.

Verification: 79.77468270072 ≈ 6364.

Simplified radical form

The square root of 6364 in simplified radical form is 2√1591.

This is equivalent to √6364, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal796241
Upper or equal806400

Nearby square roots

NumberSquare root
√636179.7558775264
√636279.7621464104
√636379.7684148018
√636479.7746827007
√636579.7809501072
√636679.7872170213
√636779.7934834432

Number properties

Is 6364 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6364 is irrational because 6364 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 6364.