Question

if x = 2/3+root 7then (x=3)² is​

Answer 1

Answer:

doditfiusmsrmuus

Step-by-step explanation:

litlurititdlursut

Answer 2

Answer:

hope it helps

Step-by-step explanation:

Given :-

 

x = 2/(3 + √7)

 

By rationalizing, we get

 

= 2/(3 + √7) × (3 - √7)/(3 - √7)

 

= 2(3 - √7)/(3 + √7)(3 - √7)

 

= (6 - 2√7)/[(3)² - (√7)²]

 

= (6 - 2√7)/(9 - 7)

 

= (6 + 2√7)/2

 

= 2(3 + 1√7)/2

 

= 3 + √7

 

Therefore value of (x - 3)² :-

 

= [(3 + √7)² - 2(3 + √7)(3) + (3)²]

 

= [(3² + 6√7 + √7²) - 2(9 + 3√7) + 9]

 

= 9 + 6√7 + 7 - 18 - 6√7 + 3

 

= 9 + 7 - 18 + 9

 

= 18 - 18 + 7

 

= 7 Final answer!

 

Identity used :-

 

(a - b)(a + b) = a² - b²

 

(a + b)² = a² + 2ab + b²

 

(a - b)² = a² - 2ab + b²