Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 160?

The square root of 160 is 12.6491106407. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√160 = 12.6491106407
CalculatedNon-perfect squareIrrational
Exact form√160
Perfect squareNo
Number typeIrrational
Verification12.64911064072 ≈ 160

On this page

How the answer is calculated

We solve x2 = 160. The resulting value is x = 12.6491106407.

Verification: 12.64911064072 ≈ 160.

Simplified radical form

The square root of 160 in simplified radical form is 4√10.

This is equivalent to √160, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12144
Upper or equal13169

Nearby square roots

NumberSquare root
√15712.5299640861
√15812.56980509
√15912.6095202129
√16012.6491106407
√16112.6885775404
√16212.7279220614
√16312.7671453348

Number properties

Is 160 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√160 is irrational because 160 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 160.