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What is the Square Root of 450?

The square root of 450 is 21.2132034356. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√450 = 21.2132034356
CalculatedNon-perfect squareIrrational
Exact form√450
Perfect squareNo
Number typeIrrational
Verification21.21320343562 ≈ 450

On this page

How the answer is calculated

We solve x2 = 450. The resulting value is x = 21.2132034356.

Verification: 21.21320343562 ≈ 450.

Simplified radical form

The square root of 450 in simplified radical form is 15√2.

This is equivalent to √450, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal21441
Upper or equal22484

Nearby square roots

NumberSquare root
√44721.1423745119
√44821.1660104885
√44921.1896201004
√45021.2132034356
√45121.2367605816
√45221.2602916255
√45321.2837966538

Number properties

Is 450 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√450 is irrational because 450 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 450.