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What is the Square Root of 21175?

The square root of 21175 is 145.5163221086. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21175 = 145.5163221086
CalculatedNon-perfect squareIrrational
Exact form√21175
Perfect squareNo
Number typeIrrational
Verification145.51632210862 ≈ 21175

On this page

How the answer is calculated

We solve x2 = 21175. The resulting value is x = 145.5163221086.

Verification: 145.51632210862 ≈ 21175.

Simplified radical form

The square root of 21175 in simplified radical form is 55√7.

This is equivalent to √21175, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21172145.5060136214
√21173145.5094498649
√21174145.5128860273
√21175145.5163221086
√21176145.5197581086
√21177145.5231940276
√21178145.5266298655

Number properties

Is 21175 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21175 is irrational because 21175 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 21175.