Simplify each radical expression. Leave in radical form. Show your work.√ (17+2√22)

First put the equation under one denominator.

17/1+2/√22 = (17√22 + 2) / √22

rationalize this equation by multiplying both numerator and denominator by √22.

= (17*√22*√22 + 2*√22) / (√22*√22)

= (17*22 + 2√22) / 22

= (374 + 2√22) / 22

So, from the equation,

√ (17+2√22) = √ ((374 + 2√22) / 22)