What is the Square Root of 248?

The square root of 248 is 15.748015748. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√248 = 15.748015748
CalculatedNon-perfect squareIrrational
Exact form√248
Perfect squareNo
Number typeIrrational
Verification15.7480157482 ≈ 248

On this page

How the answer is calculated

We solve x2 = 248. The resulting value is x = 15.748015748.

Verification: 15.7480157482 ≈ 248.

Simplified radical form

The square root of 248 in simplified radical form is 2√62.

This is equivalent to √248, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal15225
Upper or equal16256

Nearby square roots

NumberSquare root
√24515.6524758425
√24615.6843871414
√24715.7162336455
√24815.748015748
√24915.7797338381
√25015.8113883008
√25115.8429795178

Number properties

Is 248 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√248 is irrational because 248 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 248.