What is the Square Root of 70?

The square root of 70 is 8.3666002653. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√70 = 8.3666002653
CalculatedNon-perfect squareIrrational
Exact form√70
Perfect squareNo
Number typeIrrational
Verification8.36660026532 ≈ 70

On this page

How the answer is calculated

We solve x2 = 70. The resulting value is x = 8.3666002653.

Verification: 8.36660026532 ≈ 70.

Simplified radical form

The square root of 70 in simplified radical form is √70.

There are no square factors that can be taken outside the radical, so √70 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal864
Upper or equal981

Nearby square roots

NumberSquare root
√678.1853527719
√688.2462112512
√698.3066238629
√708.3666002653
√718.4261497732
√728.4852813742
√738.5440037453

Number properties

Is 70 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√70 is irrational because 70 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 70.