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What is the Square Root of 21074?

The square root of 21074 is 145.1688671858. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21074 = 145.1688671858
CalculatedNon-perfect squareIrrational
Exact form√21074
Perfect squareNo
Number typeIrrational
Verification145.16886718582 ≈ 21074

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How the answer is calculated

We solve x2 = 21074. The resulting value is x = 145.1688671858.

Verification: 145.16886718582 ≈ 21074.

Simplified radical form

The square root of 21074 in simplified radical form is √21074.

There are no square factors that can be taken outside the radical, so √21074 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21071145.158534024
√21072145.161978493
√21073145.1654228802
√21074145.1688671858
√21075145.1723114096
√21076145.1757555517
√21077145.1791996121

Number properties

Is 21074 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21074 is irrational because 21074 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 21074.