465

<-- Enter expression

Evaluate √465

Term 1 has a square root, so we evaluate and simplify:
Simplify √465.

Checking square roots, we see that 212 = 441 and 222 = 484.
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.

We do this by listing each product combo of 465 checking for integer square root values below:
465 = √1465
465 = √3155
465 = √593
465 = √1531

From that list, the highest factor that has an integer square root is 1.
Therefore, we use the product combo √465 = √1465
Evaluating square roots, we see that √1 = 1

Since 1 is the greatest common factor, this square root cannot be simplified any further:
Multiply by our constant of 1
465 = 465

Group square root terms for 1
1√465


Build final answer:
1√465