sqrt300

<-- Enter expression

Evaluate √300

Term 1 has a square root, so we evaluate and simplify:
Simplify √300.

Checking square roots, we see that 172 = 289 and 182 = 324.
Our answer in decimal format is between 17 and 18
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 300 checking for integer square root values below:
300 = √1300
300 = √2150
300 = √3100
300 = √475
300 = √560
300 = √650
300 = √1030
300 = √1225
300 = √1520

From that list, the highest factor that has an integer square root is 100.
Therefore, we use the product combo √300 = √1003
Evaluating square roots, we see that √100 = 10

Simplifying our product of radicals, we get our answer:
300 = 10√3

Group square root terms for 10
10√3


Build final answer:
10√3