" 10."sqrt(27)-(9)/(sqrt(3))-root(4)((1)/(9))+root(6)((1)/(27))

root(3)(1/27) =___

Determine which of the followings are rational and which are surds: sqrt((3)/(12)), sqrt27, root(5)(243), root(4)((32)/(81))

The following are the steps involved in finding the least amont sqrt(3),root(3)(4) and root(6)(15) . Arrange them in sequential order. (A) therefore root(6)(15) is the smallest (B) therefore 3^(1//2)=3^(3//6), 4^(1//3)=4^(2//6), 15^(1//6)=15^(1//6) (C)The LCM fo the denominators of the exponents is 6 (D) sqrt(3)=3^(1//2), root(3)(4)=4^(1//3), root(6)(15)=15^(1//6) (E) therefore sqrt(3)=root(6)(27), root(3)(4)=root(6)(16)root(6)(15)=root(6)(15)

Which of the following are surds ? (a) sqrt(9) " "(b)root(3)(13)" "(c)root(4)(25)" "(d)root(6)(32)

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

27^(1(1)/(3))times sqrt((1)/(9))-:81^((-1)/(4))=?

Evaluate the following : (i) sqrt(30-sqrt(25)) (ii) sqrt(36-sqrt(121)) (iii) root(3)27-root(3)8

(a) (root(4)(9)+root(4)(4))^(1/3)*(root(4)(9)-root(4)(4))^(1/3) simplify

root3(2744)+sqrt(9^(2))=