To simplify the expression (3√2+2√3)√3, we can distribute the √3 to each term inside the parentheses:

(3√2+2√3)√3 = 3√2√3 + 2√3√3

Since √a * √b = √(a*b), we can simplify further:

3√2√3 + 2√3√3 = 3√(2*3) + 2√(3*3)

= 3√6 + 2√9

= 3√6 + 2(3)

= 3√6 + 6

So, the simplified expression is 3√6 + 6.

To simplify the expression √10+√2/√5+1, we can rationalize the denominator of the second term:

√10+√2/√5+1 = (√10+√2)/(√5+1)

To rationalize the denominator, we multiply the numerator and denominator by the conjugate of the denominator:

(√10+√2)/(√5+1) * (√5-1)/(√5-1)

= (√10*√5 + √10*(-1) + √2*√5 - √2*(-1))/((√5)^2 - (1)^2)

= (√50 - √10 + √10 - √2)/(5-1)

= (√50 - √2)/(4)

So, the simplified expression is (√50 - √2)/4.