What is the Square Root of 1358?

The square root of 1358 is 36.8510515454. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1358 = 36.8510515454
CalculatedNon-perfect squareIrrational
Exact form√1358
Perfect squareNo
Number typeIrrational
Verification36.85105154542 ≈ 1358

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How the answer is calculated

We solve x2 = 1358. The resulting value is x = 36.8510515454.

Verification: 36.85105154542 ≈ 1358.

Simplified radical form

The square root of 1358 in simplified radical form is √1358.

There are no square factors that can be taken outside the radical, so √1358 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√135536.8103246386
√135636.823905279
√135736.8374809128
√135836.8510515454
√135936.8646171823
√136036.8781778292
√136136.8917334914

Number properties

Is 1358 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1358 is irrational because 1358 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 1358.