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What is the Square Root of 170?

The square root of 170 is 13.0384048104. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√170 = 13.0384048104
CalculatedNon-perfect squareIrrational
Exact form√170
Perfect squareNo
Number typeIrrational
Verification13.03840481042 ≈ 170

On this page

How the answer is calculated

We solve x2 = 170. The resulting value is x = 13.0384048104.

Verification: 13.03840481042 ≈ 170.

Simplified radical form

The square root of 170 in simplified radical form is √170.

There are no square factors that can be taken outside the radical, so √170 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13169
Upper or equal14196

Nearby square roots

NumberSquare root
√16712.9228479833
√16812.9614813968
√16913
√17013.0384048104
√17113.0766968306
√17213.1148770486
√17313.152946438

Number properties

Is 170 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√170 is irrational because 170 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 170.