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What is the Square Root of 21168?

The square root of 21168 is 145.4922678358. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21168 = 145.4922678358
CalculatedNon-perfect squareIrrational
Exact form√21168
Perfect squareNo
Number typeIrrational
Verification145.49226783582 ≈ 21168

On this page

How the answer is calculated

We solve x2 = 21168. The resulting value is x = 145.4922678358.

Verification: 145.49226783582 ≈ 21168.

Simplified radical form

The square root of 21168 in simplified radical form is 84√3.

This is equivalent to √21168, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21165145.4819576442
√21166145.4853944559
√21167145.4888311865
√21168145.4922678358
√21169145.4957044039
√21170145.4991408909
√21171145.5025772968

Number properties

Is 21168 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21168 is irrational because 21168 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 21168.