The 10th term of `(3-sqrt((17)/4+3sqrt(2)))^(20)` is (a)a irrational number (b)a rational number (c)a positive integer (d)a negative integer

10th term of (3- sqrt((17)/(4) + 3 sqrt(2)))^(20) is

If tantheta=sqrt n, where n in N, >= 2, then sec2theta is always (a) a rational number (b) an irrational number (c) a positive integer (d) a negative integer

Prove that 3sqrt(2) is an irrational number.

If n is a positive integer,then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is (1) an irrational number (2) an odd positive integer (3) an even positive integer (4) a a rational number other than positive integers

prove that sqrt(3)-sqrt(2) is an irrational number.

Prove that 3+4sqrt(3) is an irrational number .

Prove that sqrt(3)+sqrt(4) is an irrational number.

Prove that 2-3sqrt(5) is an irrational number.

Prove that 2-3sqrt(5) is an irrational number.

Prove that sqrt(3)-sqrt(5) is an irrational number.