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What is the Square Root of 90?

The square root of 90 is 9.4868329805. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√90 = 9.4868329805
CalculatedNon-perfect squareIrrational
Exact form√90
Perfect squareNo
Number typeIrrational
Verification9.48683298052 ≈ 90

On this page

How the answer is calculated

We solve x2 = 90. The resulting value is x = 9.4868329805.

Verification: 9.48683298052 ≈ 90.

Simplified radical form

The square root of 90 in simplified radical form is 3√10.

This is equivalent to √90, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal981
Upper or equal10100

Nearby square roots

NumberSquare root
√879.3273790531
√889.3808315196
√899.4339811321
√909.4868329805
√919.5393920142
√929.5916630466
√939.643650761

Number properties

Is 90 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√90 is irrational because 90 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 90.