Question

State, in each case, whether true or false.

$\left(i\right)\sqrt{2}+\sqrt{3}=\sqrt{5}$

$\left(ii\right)2\sqrt{4}+2=6$

$\left(iii\right)3\sqrt{7}-2\sqrt{7}=\sqrt{7}$

$\left(iv\right)\frac{2}{7}$ is an irrational number.

$\left(v\right)\frac{5}{11}$ is a rational number.

(vi) All rational numbers are real numbers.

(vii) All real numbers are rational numbers.

(viii) Some real numbers are rational numbers.

Answer 1

(i) False

(ii) True
$2\sqrt{4}+2=2\times 2+2=4+2=6$

(iii) True.

(iv) False because

which is recurring and non-terminating and hence it is rational

(v) True because

$\frac{5}{11}=0.\overline{45}$ which is recurring and non-terminating

(vi) True

(vii) False

(viii) True.