Question

write the value of (2√5-√3)(2√5-√2)

Answer 1

Answer:

Given :  (2 + √3) (2 - √3)

By using the identity : (a + b)(a – b) = a² - b² :  

(2 + √3) (2 – √3)

= (2)² – (√3)²

= 4 – 3

= 1

Hence the value of (2 + √3) (2 - √3) is 1.

 

Some more examples :  

(5 + √5) (5 - √5)

By using the identity : (a + b)(a – b) = a² - b² :  

(5 + √5) (5 – √5)

= (5)² – (√5)²

= 25 – 5

= 20

(3 + 2√2) (3 - 2√2)

By using the identity : (a + b)(a – b) = a² - b² :  

(3 + 2√2) (3 – 2√2)

= (3)² – (2√2)²

= 9 – 8

= 1

HOPE THIS ANSWER WILL HELP YOU…..

Similar questions :

Simplify the following expressions :

(i) (11+√11) (11-√11)(ii) (5+√7) (5-√7)

(iii) (√8 - √2) (√8 - √2)

(iv) (3+√3) (3-√3)(v) (√5 - √2) (√5 - √2)

brainly.in/question/15897354

 

Simplify the following expression:-

(i) (5+√7)(2+√5)

(ii) (5+√5)(5-√5)

(iii) (√3+√7)^2

(iv) (√11-√7)(√11+√7)​

brainly.in/question/9065655