Simplify √ 12 + √ 75

First, the surds need to be simplified. Surds can be simplified by finding the highest square number that is a factor of the number in the square root.√12 = √(4 x 3) = √4 x √3 = 2√3√75 = √(25 x 3) = √25 x √3 = 5√3So now the equation is 2√3 + 5√3One way to solve this is by factoring out the √3. This becomes √3 x (2+5) =7√3