Question

please solve this question ​

Answer 1

Answer:

the answer is (b) 2-√3

Step-by-step explanation:

given that:

a=2+√3

to find:1/a

--> 1/a=1/(2+√3)

multiplying 2-√3 in numerator and denominator we get....

2-√3

Answer 2

Question:-

$\bf \: If \: a \: = \: 2 + \sqrt{3} \: \: then \: \frac{1}{a} \: \: \: is \:$

Solution:-

Value of a

$2 + \sqrt{3}$

We have find 1/a, we get

$\frac{1}{2 + \sqrt{3} }$

Use rationalization method

$\frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} }$

Use => ( a - b ) ( a + b ) = ( a² - b²) we get

$\frac{2 - \sqrt{3} }{(2) {}^{2} - ( \sqrt{3)} {}^{2} }$

$\frac{2 - \sqrt{3} }{4 - 3}$

$\to \: 2 - \sqrt{3}$

Answer:- option (b) is correct