WorkedMathGlossary

Square Root of 45

The square root of 45 is approximately 6.708204, or exactly 3√5 in simplified radical form. No, 45 is not a perfect square. Its square root is irrational and never terminates or repeats as a decimal.

45
6.708204
Simplified Radical Form
3√5
Perfect Square
No

45 is irrational — its decimal form (6.708204) never terminates or repeats. The simplified radical form (3√5) is the exact value.

Frequently Asked Questions

What is the square root of 45?

The square root of 45 is approximately 6.708204, or exactly 3√5 in simplified radical form.

Is 45 a perfect square?

No, 45 is not a perfect square. Its square root is irrational and never terminates or repeats as a decimal.

More Number Theory

Nearby numbers

View all calculators →