Evaluate √300

Simplify √300.

Checking square roots, we see that 17

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.

√300 = √1√300

√300 = √2√150

√300 = √3√100

√300 = √4√75

√300 = √5√60

√300 = √6√50

√300 = √10√30

√300 = √12√25

√300 = √15√20

From that list, the highest factor that has an integer square root is 100.

Therefore, we use the product combo √300 = √100√3

Evaluating square roots, we see that √100 = 10

√300 =

10√3