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What is the Square Root of 21088?

The square root of 21088 is 145.2170788854. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21088 = 145.2170788854
CalculatedNon-perfect squareIrrational
Exact form√21088
Perfect squareNo
Number typeIrrational
Verification145.21707888542 ≈ 21088

On this page

How the answer is calculated

We solve x2 = 21088. The resulting value is x = 145.2170788854.

Verification: 145.21707888542 ≈ 21088.

Simplified radical form

The square root of 21088 in simplified radical form is 4√1318.

This is equivalent to √21088, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21085145.2067491544
√21086145.2101924797
√21087145.2136357234
√21088145.2170788854
√21089145.2205219657
√21090145.2239649645
√21091145.2274078816

Number properties

Is 21088 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21088 is irrational because 21088 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 21088.