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What is the Square Root of 27964?

The square root of 27964 is 167.2244001335. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27964 = 167.2244001335
CalculatedNon-perfect squareIrrational
Exact form√27964
Perfect squareNo
Number typeIrrational
Verification167.22440013352 ≈ 27964

On this page

How the answer is calculated

We solve x2 = 27964. The resulting value is x = 167.2244001335.

Verification: 167.22440013352 ≈ 27964.

Simplified radical form

The square root of 27964 in simplified radical form is 2√6991.

This is equivalent to √27964, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16727889
Upper or equal16828224

Nearby square roots

NumberSquare root
√27961167.21542991
√27962167.218420038
√27963167.2214101125
√27964167.2244001335
√27965167.227390101
√27966167.2303800151
√27967167.2333698758

Number properties

Is 27964 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27964 is irrational because 27964 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 27964.