multiplying radicals?

(5√3+√2)(2√3-√2)
= (5√3)(2√3) - (5√3)(√2) + (√2)(2√3) - (√2)(√2)
= 30 - 5√6 + 2√6 - 2
= 28 - 3√6. ................. answer

(5√3 + √2)(2√3 - √2)
= (5 * 2)√(3 * 3) + 2√(3 * 2) - 5√(3 * 2) - √(2 * 2)
= 10(3) + 2√6 - 5√6 - 2
= 30 - 2 + (2 - 5)√6
= 28 + (-3)√6
= 28 - 3√6

30 - 5√6 + 2√6 - 2

28 - 3√6

30 + 2√6 - 5√6 - 2 = 28 - 3√6