Question

simplify (3+√3) (2+√2)​

Answer 1

Step-by-step explanation:

3(2+√2)+√3(2+√2)

6+3√2+2√3+√6

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Answer 2

Solution

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Given,

• (3+√3) (2+√2)

To find ,

• the value of the equation

Now,

$(3 + \sqrt{3} )(2 + \sqrt{2} )$

$= 3(2 + \sqrt{2} ) + \sqrt{3} (2 + \sqrt{2} )$

$= 3 \times 2 + 3 \times \sqrt{2} + \sqrt{3} \times 2 + \sqrt{3} \times \sqrt{2}$

$= 6 + 3 \sqrt{2} + 2 \sqrt{3} + \sqrt{3 \times 2}$

$= 6 + 3 \sqrt{2} + 2 \sqrt{3} + \sqrt{6}$

So, the value of the equation is 6+3√2+2√3+√6

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✨Additional explanation

• we solve the above equation by the method ;

(a+b)(c+d)

= a(c+d) +b(c+d)

= AC + AD + BC + BD

some for identities

• (a+b)(a-b) = a^2 - b^2
• (a+b)^2 = a^2+b^2+2ab
• (X+a)(X+b) = x^2 + (a+b)X + ab
• (a-b)^2 = a^2 - 2ab + b^2