Write the value of (2+√3) (2-√3).
Answers
Answer:
see below...
Step-by-step explanation:
(2+√3)(2-√3) is 4-3 which is equal to 1...
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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)
https://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