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

(log)_4 18 is (a) a rational number (b) an irrational number (c) a prime number (d) none of these

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

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 rational number other than positive integers

In the expansion of (3-sqrt(17/4+3sqrt2))^15 the 11th term is a

Represent sqrt3 irrational numbers on the number line.

The smallest integer larger than (sqrt(3) + sqrt(2))^(6) is

Check whether (i) 5sqrt2 (ii) (5)/(sqrt2) (iii) 21+sqrt3 (iv) pi+3 are irrational numbers or not?

Show that the square to (sqrt(26-15sqrt(3)))//(5sqrt(2)-sqrt(38+5sqrt(3))) is a rational number.

Write the truth value for each of the following statements. (1) 3+5=8 and sqrt(2) is an irrational number. (2) 5 is a positive integer or a square is a rectangle. (3) Chennai is not a Tamilnadu.

Find any two irrational numbers between sqrt2 and sqrt3