Find the largest from among `root(4)6,\ sqrt(2)\ and\ root(3)4`.

Find the smallest numbers root(3)(6),root(6)(24) and root(4)(8)

Which one of the following is the least? sqrt(3),root(3)(2),sqrt(2) and root(3)(4)

Find the square root of 7+4sqrt(3)

Find the square root of -3+4sqrt(-7)

The following are the steps involved in finding the greatest among root(3)(2),root(6)(3) and sqrt(6) . Arrange them in sequential order. (A) The LCM of the denominators of the exponents is 6. (B) therefore root(6)(216) i.e., sqrt(6) is greatest. (C) root(3)(2)=2^(1//3), root(6)(3)=3^(1//6), sqrt(6)=6^(1//2) (D) 2^(1//3)=2^(2//6), 3^(1//6), 6^(1//2)=6^(3//6) (E) root(3)(2)=root(6)(4)root(6)(3)-root(6)(3),sqrt(6)=root(6)(216)

Find the square root of 4+4sqrt(3)i