Question

Simplify it please ....​

Answer 1

Answer:

$\sqrt{ 3} - 1$

Step-by-step explanation:

The attachment shall have the questions explanation

Now Rationalisation,

This is a way we solve surds .

This involves only if at least one irrational number is present in the denominator

Assume I have this surd

$\frac{1}{ \sqrt{a} - 1 }$

Now if I were to rationalise this,

multiply and devide the surd with its component .

component of ax+ b is ax-b (is this part clear.if not please, comment )

so applying that to the surd

$\frac{1}{ \sqrt{a} - 1 } \times \frac{ \sqrt{a} + 1 }{ \sqrt{a} + 1 }$

This causes a effect in that denominator,

if you noticed.

It causes that (a+b)×(a-b) which is a²-b²

so apply this to that surd

$\frac{ \sqrt{a} + 1 }{a - 1}$

now , I have skipped a step by directly solving the denominator. Which you can figure out as it's simple (if not, just ask in comments)

so that was an explanation of rationalisation if you didnt know

Hope you had a good day