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What is the Square Root of 702?

The square root of 702 is 26.495282599. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√702 = 26.495282599
CalculatedNon-perfect squareIrrational
Exact form√702
Perfect squareNo
Number typeIrrational
Verification26.4952825992 ≈ 702

On this page

How the answer is calculated

We solve x2 = 702. The resulting value is x = 26.495282599.

Verification: 26.4952825992 ≈ 702.

Simplified radical form

The square root of 702 in simplified radical form is 3√78.

This is equivalent to √702, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal26676
Upper or equal27729

Nearby square roots

NumberSquare root
√69926.4386081328
√70026.4575131106
√70126.4764045897
√70226.495282599
√70326.5141471671
√70426.5329983228
√70526.5518360947

Number properties

Is 702 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√702 is irrational because 702 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 702.