Q5 Simplify the radical expression. 3(square root)5 + 6(square root)180
To simplify the radical expression 3√5 + 6√180, we first need to simplify the square root of 180.
We know that 180 can be factored into 36 x 5. Since 36 is a perfect square, we can simplify the square root of 180 as √(36 x 5) = 6√5.
Therefore, the radical expression becomes 3√5 + 6(6√5) = 3√5 + 36√5 = 39√5.
The simplified radical expression is 39√5.