The combination of rational and irrational number is called number.

When the digits within the number are multiplied with each other, the product of which of the following numbers is the lowest?

$435,224,823,902$

Consider the following statements:

(i) For every positive real number $x,x-10$ is positive.

(ii) Let $n$ be a natural number. If $n^2$ is even, then $n$ is even. $f$

(iii) If a natural number is odd, then its square is also odd.

Then

Rationalise the denominator and simplify :

$\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}$

The value of x satisfying the equation (considering only positive root) $\frac{\left[\sqrt{5+2\sqrt{6}} + \sqrt{5-2\sqrt{6}}\right]}{\left[\sqrt{5+2 \sqrt{6 }}– \sqrt{5-2\sqrt{6}}\right]}$ = $\sqrt{\frac{x}{2}}$ is.

If the rationalised form of $\frac{1}{\sqrt{7}-\sqrt{6}}$ is in the form $\sqrt{a}+\sqrt{b}$ then, write the value of $\left(a+b\right)$ as final answer.