What is the Square Root of 148?

The square root of 148 is 12.1655250606. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√148 = 12.1655250606
CalculatedNon-perfect squareIrrational
Exact form√148
Perfect squareNo
Number typeIrrational
Verification12.16552506062 ≈ 148

On this page

How the answer is calculated

We solve x2 = 148. The resulting value is x = 12.1655250606.

Verification: 12.16552506062 ≈ 148.

Simplified radical form

The square root of 148 in simplified radical form is 2√37.

This is equivalent to √148, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12144
Upper or equal13169

Nearby square roots

NumberSquare root
√14512.0415945788
√14612.0830459736
√14712.124355653
√14812.1655250606
√14912.2065556157
√15012.2474487139
√15112.2882057274

Number properties

Is 148 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√148 is irrational because 148 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 148.