Evaluate/simplify the following: `|pi-3-8-2sqrt(15)|`

Evaluate/simplify the following: |2 3-3 4|

Evaluate/simplify the following: |sqrt(7-4sqrt(3))|+|sqrt((2-sqrt(3))^2)|

Evaluate or simplify the following expression . 17 - {8 + (2 xx 3 - 4)}

Simplify the following expressions : 6/15 + 3/2

Simplify the following (i) sqrt45-3sqrt20+4sqrt5 (ii) sqrt(24)/8 + sqrt54/9 (iii) root4(12) xx root7(6) (iv) 4sqrt28 div 3sqrt7 div root3(7) (v) 3sqrt3+2sqrt27 + 7/(sqrt3) (vi) (sqrt3-sqrt2)^(2) (vii) root4(81)-8root3(216)+15root5(32)+ sqrt225 (viii) 3/sqrt8+ 1 / sqrt2 (ix) (2sqrt3)/3- (sqrt3)/6

Simplify the following expressions: (3+sqrt(3))(2+sqrt(2))( ii) (5+sqrt(7))(2+sqrt(5))

Simplify the following expressions: (3+sqrt(3))(2+sqrt(2))( ii) (5+sqrt(7))(2+sqrt(5))

Simplify the following expressions: (3+sqrt(3))(3-sqrt(3))( ii) (sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

Simplify the following expressions: (11+sqrt(11))(11-sqrt(11))( ii) (5+sqrt(7))(5-sqrt(7))(sqrt(8)-sqrt(2))(sqrt(8)+sqrt(2))

Evaluate the following integral: int_(pi)^(3 pi/2)sqrt(1-cos)backslash2x backslash dx