How do you multiply surds √6 and √2?

To multiply surds √6 and √2, you simply multiply the numbers inside the square roots: √6 * √2 = √12.

When multiplying surds, you can use the property that √a * √b = √(a * b). In this case, you have √6 and √2. According to the property, you multiply the numbers inside the square roots together: 6 * 2. This gives you √12.

Next, you might want to simplify √12 if possible. To do this, you look for any square numbers that are factors of 12. The number 12 can be factored into 4 * 3, where 4 is a square number (since 4 = 2^2). Therefore, √12 can be simplified to √(4 * 3), which is the same as √4 * √3. Since √4 is 2, you get 2√3.

So, the simplified form of √6 * √2 is 2√3. This process of multiplying and then simplifying surds is a common technique in GCSE Maths and helps in solving more complex problems involving surds.