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What is the Square Root of 712?

The square root of 712 is 26.6833281283. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√712 = 26.6833281283
CalculatedNon-perfect squareIrrational
Exact form√712
Perfect squareNo
Number typeIrrational
Verification26.68332812832 ≈ 712

On this page

How the answer is calculated

We solve x2 = 712. The resulting value is x = 26.6833281283.

Verification: 26.68332812832 ≈ 712.

Simplified radical form

The square root of 712 in simplified radical form is 2√178.

This is equivalent to √712, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal26676
Upper or equal27729

Nearby square roots

NumberSquare root
√70926.6270539114
√71026.6458251889
√71126.6645832519
√71226.6833281283
√71326.7020598456
√71426.7207784318
√71526.7394839142

Number properties

Is 712 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√712 is irrational because 712 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 712.