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What is the Square Root of 1493?

The square root of 1493 is 38.6393581727. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1493 = 38.6393581727
CalculatedNon-perfect squareIrrational
Exact form√1493
Perfect squareNo
Number typeIrrational
Verification38.63935817272 ≈ 1493

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How the answer is calculated

We solve x2 = 1493. The resulting value is x = 38.6393581727.

Verification: 38.63935817272 ≈ 1493.

Simplified radical form

The square root of 1493 in simplified radical form is √1493.

There are no square factors that can be taken outside the radical, so √1493 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal381444
Upper or equal391521

Nearby square roots

NumberSquare root
√149038.6005181312
√149138.6134691526
√149238.6264158317
√149338.6393581727
√149438.6522961802
√149538.6652298584
√149638.6781592116

Number properties

Is 1493 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1493 is irrational because 1493 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 1493.