What is the Square Root of 87?

The square root of 87 is 9.3273790531. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√87 = 9.3273790531
CalculatedNon-perfect squareIrrational
Exact form√87
Perfect squareNo
Number typeIrrational
Verification9.32737905312 ≈ 87

On this page

How the answer is calculated

We solve x2 = 87. The resulting value is x = 9.3273790531.

Verification: 9.32737905312 ≈ 87.

Simplified radical form

The square root of 87 in simplified radical form is √87.

There are no square factors that can be taken outside the radical, so √87 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal981
Upper or equal10100

Nearby square roots

NumberSquare root
√849.1651513899
√859.2195444573
√869.2736184955
√879.3273790531
√889.3808315196
√899.4339811321
√909.4868329805

Number properties

Is 87 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√87 is irrational because 87 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 87.