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What is the Square Root of 107?

The square root of 107 is 10.3440804328. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√107 = 10.3440804328
CalculatedNon-perfect squareIrrational
Exact form√107
Perfect squareNo
Number typeIrrational
Verification10.34408043282 ≈ 107

On this page

How the answer is calculated

We solve x2 = 107. The resulting value is x = 10.3440804328.

Verification: 10.34408043282 ≈ 107.

Simplified radical form

The square root of 107 in simplified radical form is √107.

There are no square factors that can be taken outside the radical, so √107 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal10100
Upper or equal11121

Nearby square roots

NumberSquare root
√10410.1980390272
√10510.246950766
√10610.295630141
√10710.3440804328
√10810.3923048454
√10910.4403065089
√11010.4880884817

Number properties

Is 107 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√107 is irrational because 107 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 107.