WorkedMathGlossary

Square Root of 72

The square root of 72 is approximately 8.485281, or exactly 6√2 in simplified radical form. No, 72 is not a perfect square. Its square root is irrational and never terminates or repeats as a decimal.

72
8.485281
Simplified Radical Form
6√2
Perfect Square
No

72 is irrational — its decimal form (8.485281) never terminates or repeats. The simplified radical form (6√2) is the exact value.

Frequently Asked Questions

What is the square root of 72?

The square root of 72 is approximately 8.485281, or exactly 6√2 in simplified radical form.

Is 72 a perfect square?

No, 72 is not a perfect square. Its square root is irrational and never terminates or repeats as a decimal.

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