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What is the Square Root of 1672?

The square root of 1672 is 40.8900966005. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1672 = 40.8900966005
CalculatedNon-perfect squareIrrational
Exact form√1672
Perfect squareNo
Number typeIrrational
Verification40.89009660052 ≈ 1672

On this page

How the answer is calculated

We solve x2 = 1672. The resulting value is x = 40.8900966005.

Verification: 40.89009660052 ≈ 1672.

Simplified radical form

The square root of 1672 in simplified radical form is 2√418.

This is equivalent to √1672, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal401600
Upper or equal411681

Nearby square roots

NumberSquare root
√166940.8533964316
√167040.8656334834
√167140.8778668719
√167240.8900966005
√167340.9023226724
√167440.914545091
√167540.9267638594

Number properties

Is 1672 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1672 is irrational because 1672 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 1672.