Question

Simplify the following expressions :
(i) (4+√7) (3+√2)

(ii) (3+√3) (5 -√2)

(iii)(√5 -2) (√3-√5)

Answer 1

Given : (i) (4 + √7) (3 + √2)

= 3(4 + √7) +√2 (4 + √7)

= 12 + 3√7 + 4√2 + √14

(ii) (3 + √3) (5 - √2)

3(5 -√2) + √3(5 - √2)

⇒ 3 × 5 - 3√2 + 5√3 -  √3 ×√2

⇒ 15 - 3√2 + 5√3 - √6

(iii) Given : (√5 - 2) (√3 - √5)

⇒   √3(√5 - 2) -√5(√5 - 2)

⇒ √5 × √3 - 2√3 - √5 × √5 + 2√5

⇒ √15 - 2√3 - 5 + 2√5

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Similar questions :

Simplify each of the following expressions:

(i) (3 + 3^(1/2)(2 + 2^(1/2)

(ii) (3 + 3^(1/2)((3 - 3^(1/2)

(iii) [5^(1/2) + 2^(1/2)]^2

(iv)[5^(1/2) + 2^(1/2)][5^(1/2) - 2^(1/2)]

https://brainly.in/question/1389272

Simplify the following expression:-

(i) (5+√7)(2+√5)

(ii) (5+√5)(5-√5)

(iii) (√3+√7)^2

(iv) (√11-√7)(√11+√7)​

https://brainly.in/question/9065655

Answer 2

Answer:

(i) (4 + √7) (3 + √2)

=> 12 + 4√2 + 3√7 + √14

(ii) (3 + √3) (5 - √2)

=> 15 - 3√2 + 5√3 - √6

(iii) (√5 - 2) (√3 - √5)

=> √15 - 5 - 2√3 + 2√5

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