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What is the Square Root of 97?

The square root of 97 is 9.8488578018. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√97 = 9.8488578018
CalculatedNon-perfect squareIrrational
Exact form√97
Perfect squareNo
Number typeIrrational
Verification9.84885780182 ≈ 97

On this page

How the answer is calculated

We solve x2 = 97. The resulting value is x = 9.8488578018.

Verification: 9.84885780182 ≈ 97.

Simplified radical form

The square root of 97 in simplified radical form is √97.

There are no square factors that can be taken outside the radical, so √97 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal981
Upper or equal10100

Nearby square roots

NumberSquare root
√949.6953597148
√959.7467943448
√969.7979589711
√979.8488578018
√989.8994949366
√999.9498743711
√10010

Number properties

Is 97 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√97 is irrational because 97 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 97.