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What is the Square Root of 7123?

The square root of 7123 is 84.3978672716. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7123 = 84.3978672716
CalculatedNon-perfect squareIrrational
Exact form√7123
Perfect squareNo
Number typeIrrational
Verification84.39786727162 ≈ 7123

On this page

How the answer is calculated

We solve x2 = 7123. The resulting value is x = 84.3978672716.

Verification: 84.39786727162 ≈ 7123.

Simplified radical form

The square root of 7123 in simplified radical form is √7123.

There are no square factors that can be taken outside the radical, so √7123 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal847056
Upper or equal857225

Nearby square roots

NumberSquare root
√712084.3800924389
√712184.3860177992
√712284.3919427434
√712384.3978672716
√712484.403791384
√712584.4097150807
√712684.4156383616

Number properties

Is 7123 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7123 is irrational because 7123 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 7123.