Question

please simplify this question (do not send only the answer)send full with explanation ​

Answer 1

Ans:-

(i) = (3+√3)(2+√2)

= 3(2+√2)+√3(2+√2)

= 6 + 3√2 + 2√3 + √6

(ii) = (3+√3)(3-√3)

= 3(3-√3)+√3(3-√3)

= 9 - 3√3 + 3√3 - 3

= 6

(iii) = (√5 + √2)²

= (√5)²+2(√5)(√2)+(√2)²

= 5 + 2√10 + 2

= 7 + 2√10

(iv) = (√5-√2)(√5+√2)

= √5(√5+√2) -√2(√5+√2)

= 5 + 10 - 10 - 2

= 3

here is your answer

hope it will help you

Answer 2

Step-by-step explanation:

• (3+√3)(2+√2)

(a+b)(c+d) = ac+ad+bc+bd

= 3×2 + 3×√2 + √3×2 + √3×√2

= 6 + 3√2 + 2√3 + √6

• (3+√3)(3-√3)

(a+b)(a-b) = a^2 - b^2

= (3)^2 - (√3)^2

= 9-3

= 6

• (√5+√2)^2

(a+b)^2 = a^2+2ab+b^2

= (√5)^2 + 2×(√5)(√2) + (√2)^2

= 5 + 2√10 + 2

= 7+2√10

• (√5-√2)(√5+√2)

(a+b)(a-b) = a^2 - b^2

= (√5)^2 - (√2)^2

= 5-2

= 3