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What is the Square Root of 7121?

The square root of 7121 is 84.3860177992. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7121 = 84.3860177992
CalculatedNon-perfect squareIrrational
Exact form√7121
Perfect squareNo
Number typeIrrational
Verification84.38601779922 ≈ 7121

On this page

How the answer is calculated

We solve x2 = 7121. The resulting value is x = 84.3860177992.

Verification: 84.38601779922 ≈ 7121.

Simplified radical form

The square root of 7121 in simplified radical form is √7121.

There are no square factors that can be taken outside the radical, so √7121 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal847056
Upper or equal857225

Nearby square roots

NumberSquare root
√711884.36824047
√711984.3741666626
√712084.3800924389
√712184.3860177992
√712284.3919427434
√712384.3978672716
√712484.403791384

Number properties

Is 7121 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7121 is irrational because 7121 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 7121.