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What is the Square Root of 21348?

The square root of 21348 is 146.1095479426. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21348 = 146.1095479426
CalculatedNon-perfect squareIrrational
Exact form√21348
Perfect squareNo
Number typeIrrational
Verification146.10954794262 ≈ 21348

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How the answer is calculated

We solve x2 = 21348. The resulting value is x = 146.1095479426.

Verification: 146.10954794262 ≈ 21348.

Simplified radical form

The square root of 21348 in simplified radical form is 6√593.

This is equivalent to √21348, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21345146.0992813124
√21346146.1027036026
√21347146.1061258127
√21348146.1095479426
√21349146.1129699924
√21350146.116391962
√21351146.1198138515

Number properties

Is 21348 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21348 is irrational because 21348 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 21348.