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What is the Square Root of 21084?

The square root of 21084 is 145.2033057475. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21084 = 145.2033057475
CalculatedNon-perfect squareIrrational
Exact form√21084
Perfect squareNo
Number typeIrrational
Verification145.20330574752 ≈ 21084

On this page

How the answer is calculated

We solve x2 = 21084. The resulting value is x = 145.2033057475.

Verification: 145.20330574752 ≈ 21084.

Simplified radical form

The square root of 21084 in simplified radical form is 2√5271.

This is equivalent to √21084, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21081145.1929750367
√21082145.1964186886
√21083145.1998622589
√21084145.2033057475
√21085145.2067491544
√21086145.2101924797
√21087145.2136357234

Number properties

Is 21084 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21084 is irrational because 21084 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 21084.