What is the Square Root of 1352?

The square root of 1352 is 36.7695526217. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1352 = 36.7695526217
CalculatedNon-perfect squareIrrational
Exact form√1352
Perfect squareNo
Number typeIrrational
Verification36.76955262172 ≈ 1352

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How the answer is calculated

We solve x2 = 1352. The resulting value is x = 36.7695526217.

Verification: 36.76955262172 ≈ 1352.

Simplified radical form

The square root of 1352 in simplified radical form is 26√2.

This is equivalent to √1352, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√134936.7287353444
√135036.7423461417
√135136.755951899
√135236.7695526217
√135336.7831483155
√135436.7967389859
√135536.8103246386

Number properties

Is 1352 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1352 is irrational because 1352 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 1352.