multiply

√2(8+√3)

To multiply √2(8+√3), we distribute the square root of 2 to both terms inside the parentheses:

√2 * 8 + √2 * √3

Simplifying each term separately:

8√2 + √(2 * 3)

8√2 + √6

Therefore, √2(8+√3) simplifies to 8√2 + √6.