Square Root Calculator › Square root of 45

Square Root of 45

√45 ≈ 6.708204

45 is not a perfect square, so √45 is an irrational number that is approximately 6.708204. In simplified radical form, √45 = 3√5.

√45 lies between √36 = 6 and √49 = 7.

Number45
Square root (decimal)6.708204
Simplified radical3√5
Perfect square?No
Rational?No

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Nearby square roots

√43 · √44 · √46 · √47

← Square root of 44 | Square root of 46 →

Frequently asked questions

Is 45 a perfect square?

No, 45 is not a perfect square, so its square root is irrational and approximately 6.708204.

What is the square root of 45 in simplest radical form?

√45 = 3√5 in simplest radical form.