√6(7+√2)
Use the distributive property:
√6 * 7 + √6 * √2
Move the 7 to the left:
7 * √6 + √6 * √2
Use the product rule for radicals on √6 * √2
7 * √6 + √(6*2)
Simplify:
7√6 + √12
Rewrite 12 as 2^2*3
7√6 + √(2^2*3)
Pull terms out from under the radical for final answer:
7√6 + 2√3
