Evaluate √465

Simplify √465.

Checking square roots, we see that 21

Our answer in decimal format is between 21 and 22

Our answer is not an integer, so we try simplify it into the product of an integer and a radical.

√465 = √1√465

√465 = √3√155

√465 = √5√93

√465 = √15√31

From that list, the highest factor that has an integer square root is 1.

Therefore, we use the product combo √465 = √1√465

Evaluating square roots, we see that √1 = 1

Since 1 is the greatest common factor, this square root cannot be simplified any further:

√465 =

1√465