What is the Square Root of 1087?

The square root of 1087 is 32.9696830437. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1087 = 32.9696830437
CalculatedNon-perfect squareIrrational
Exact form√1087
Perfect squareNo
Number typeIrrational
Verification32.96968304372 ≈ 1087

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How the answer is calculated

We solve x2 = 1087. The resulting value is x = 32.9696830437.

Verification: 32.96968304372 ≈ 1087.

Simplified radical form

The square root of 1087 in simplified radical form is √1087.

There are no square factors that can be taken outside the radical, so √1087 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal321024
Upper or equal331089

Nearby square roots

NumberSquare root
√108432.9241552663
√108532.939338184
√108632.9545141066
√108732.9696830437
√108832.9848450049
√108933
√109033.0151480384

Number properties

Is 1087 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1087 is irrational because 1087 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 1087.