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What is the Square Root of 701?

The square root of 701 is 26.4764045897. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√701 = 26.4764045897
CalculatedNon-perfect squareIrrational
Exact form√701
Perfect squareNo
Number typeIrrational
Verification26.47640458972 ≈ 701

On this page

How the answer is calculated

We solve x2 = 701. The resulting value is x = 26.4764045897.

Verification: 26.47640458972 ≈ 701.

Simplified radical form

The square root of 701 in simplified radical form is √701.

There are no square factors that can be taken outside the radical, so √701 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal26676
Upper or equal27729

Nearby square roots

NumberSquare root
√69826.4196896272
√69926.4386081328
√70026.4575131106
√70126.4764045897
√70226.495282599
√70326.5141471671
√70426.5329983228

Number properties

Is 701 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√701 is irrational because 701 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 701.