Question

simplify (root3+root2)(root3+root2)​

Answer 1

"

$\huge \boxed{ \sf \red{5 + 2 \sqrt{6}}}$

Step-by-step explanation:

(√3 + √2) (√3 + √2)

=> (√3 + √2)²

=> (√3)² + 2(√3)(√2) + (√2)²

[using the formula (a + b)² = a² + 2ab + b², here a = √3 and b = √2]

=> 3 + 2√6 + 2

=> 3+2 + 2√6

=> 5 + 2√6

Hence the simplification is 5 + 2√6

hope it helps.