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What is the Square Root of 675?

The square root of 675 is 25.9807621135. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√675 = 25.9807621135
CalculatedNon-perfect squareIrrational
Exact form√675
Perfect squareNo
Number typeIrrational
Verification25.98076211352 ≈ 675

On this page

How the answer is calculated

We solve x2 = 675. The resulting value is x = 25.9807621135.

Verification: 25.98076211352 ≈ 675.

Simplified radical form

The square root of 675 in simplified radical form is 15√3.

This is equivalent to √675, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal25625
Upper or equal26676

Nearby square roots

NumberSquare root
√67225.9229627936
√67325.9422435421
√67425.9615099715
√67525.9807621135
√67626
√67726.0192236625
√67826.0384331326

Number properties

Is 675 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√675 is irrational because 675 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 675.