Question

$hello \: brainlians \: \\ good \: afternoon \: \\ is \: it \: possible \: for \: anyone \: present \: here \: can \: solve \: \: my \: questions \: plzz$
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Answer 1

The only thing you have to do here is, proceeding your solution step-by-step. Whatever knowledge you have from your previous classes, will have to work here.

The process of rationalising the denominator is often known as RATIONALISATION OF DENOMINATORS. It actually means that you have to multiply the specified denominator with such a number that after multiplication, the product of that multiplication will be a rational number. The term which you are multiplying with the specified denominator, is a $\bold{RATIONALISING\:FACTOR}.$

Now, you are thinking about rational number right? What i am trying to say, by rational number.

Any number that can be expressed in the form p/q where p, q are integers, q ≠ 0,is called a rational number. Also, p and q will have no common factors except 1.

Now, some facts regarding surds are going to be discussed here :

1] $\sqrt{ab} = \sqrt{a \: } \times \sqrt{b}$

2] $\sqrt{ \frac{a}{b} } = \frac{ \sqrt{a} }{ \sqrt{b} }$

3] (√a + √b) (√a - √b) = (a - b)

4] (a + √b) (a - √b) = (a² - b)

All other formulas which we learnt in the previous classes while learning algebra, more clearly, factorisarion are highly required for solving these type of questions.

Now, actually saying there are no vital tricks, to apply in these above two solutions with respect to the given question and hence, both of them can get solved in simpler (easy) way as they are solved.