Simplify √75

You should start off by writing two numbers under the square root sign that multiply together to give 75. One of the two numbers should be a square number. In this case (√25 x 3) would be another way of writing √75. Separate the surd, √25 x √3. The √25 is 5 so this can now be written as 5√3. As √3 can not be simplified any further, the surd is now written in its simplest form.