Express in simplest radical form
square root 90
To express √90 in simplest radical form, we need to find the largest perfect square that is a factor of 90.
The largest perfect square that is a factor of 90 is 9 (3^2), since 9 is a factor of 90 and 3 is a prime number.
Now, we can rewrite √90 as √(9 × 10).
Using the property of square roots ( √(ab) = √a × √b), we can separate the square root of 9 from the square root of 10:
√(9 × 10) = √9 × √10.
Simplifying, we have √9 = 3, so the expression can be further simplified to:
3√10
Therefore, √90 in simplest radical form is 3√10.