WorkedMathGlossary

Square Root of 75

The square root of 75 is approximately 8.660254, or exactly 5√3 in simplified radical form. No, 75 is not a perfect square. Its square root is irrational and never terminates or repeats as a decimal.

75
8.660254
Simplified Radical Form
5√3
Perfect Square
No

75 is irrational — its decimal form (8.660254) never terminates or repeats. The simplified radical form (5√3) is the exact value.

Frequently Asked Questions

What is the square root of 75?

The square root of 75 is approximately 8.660254, or exactly 5√3 in simplified radical form.

Is 75 a perfect square?

No, 75 is not a perfect square. Its square root is irrational and never terminates or repeats as a decimal.

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