Prove that the following are irrational.
`3+2sqrt5`

Prove that the following are irrational. sqrt3 +sqrt5

Prove that the following are irrational. 6+sqrt2

Prove that the following are irrational. 1/sqrt2

Prove that the following are irrational. sqrt5

Prove that the following are irrationals (1) (1)/sqrt(2) (2) 7sqrt(5) (3)6+sqrt(2)

Prove that the following equations has no solutions. (i) sqrt((2x+7))+sqrt((x+4))=0 (ii) sqrt((x-4))=-5 (iii) sqrt((6-x))-sqrt((x-8))=2 (iv) sqrt(-2-x)=root(5)((x-7)) (v) sqrt(x)+sqrt((x+16))=3 (vi) 7sqrt(x)+8sqrt(-x)+15/(x^(3))=98 (vii) sqrt((x-3))-sqrt(x+9)=sqrt((x-1))

Examine, whether the following numbers are rational or irrational : (sqrt2+2)^(5)

Examine, whether the following numbers are rational or irrational : (10)/(10sqrt5)

Examine, whether the following numbers are rational or irrational : (3+sqrt3)(3-sqrt3)

Examine, whether the following numbers are rational or irrational : (3+sqrt3)+(3-sqrt3)