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What is the Square Root of 20736?

The square root of 20736 is 144. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20736 = 144
ExactPerfect squareRational
Exact form144
Perfect squareYes
Number typeRational
Verification1442 ≈ 20736

On this page

How the answer is calculated

We solve x2 = 20736. The resulting value is x = 144.

Verification: 1442 ≈ 20736.

Simplified radical form

The square root of 20736 in simplified radical form is 144.

There are no square factors that can be taken outside the radical, so 144 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14420736

Nearby square roots

NumberSquare root
√20733143.9895829565
√20734143.9930553881
√20735143.9965277359
√20736144
√20737144.0034721804
√20738144.006944277
√20739144.0104162899

Number properties

Is 20736 a perfect square?

Yes. Its square root is the whole number 144.

Is the square root rational or irrational?

144 is rational because it is a whole number.

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 20736.