WorkedMathGlossary

Square Root of 8

The square root of 8 is approximately 2.828427, or exactly 2√2 in simplified radical form. No, 8 is not a perfect square. Its square root is irrational and never terminates or repeats as a decimal.

8
2.828427
Simplified Radical Form
2√2
Perfect Square
No

8 is irrational — its decimal form (2.828427) never terminates or repeats. The simplified radical form (2√2) is the exact value.

Frequently Asked Questions

What is the square root of 8?

The square root of 8 is approximately 2.828427, or exactly 2√2 in simplified radical form.

Is 8 a perfect square?

No, 8 is not a perfect square. Its square root is irrational and never terminates or repeats as a decimal.

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