Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 13948?

The square root of 13948 is 118.1016511316. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13948 = 118.1016511316
CalculatedNon-perfect squareIrrational
Exact form√13948
Perfect squareNo
Number typeIrrational
Verification118.10165113162 ≈ 13948

On this page

How the answer is calculated

We solve x2 = 13948. The resulting value is x = 118.1016511316.

Verification: 118.10165113162 ≈ 13948.

Simplified radical form

The square root of 13948 in simplified radical form is 2√3487.

This is equivalent to √13948, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11813924
Upper or equal11914161

Nearby square roots

NumberSquare root
√13945118.0889495253
√13946118.0931835459
√13947118.0974174146
√13948118.1016511316
√13949118.1058846967
√13950118.1101181102
√13951118.1143513719

Number properties

Is 13948 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13948 is irrational because 13948 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 13948.