Question

simplify (2root3+3root2)^2​

Answer 1

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

Formula :

(a + b)² = a² + b² + 2ab

Solution :

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

$= 12 + 18 + 2 \times 6 \sqrt{6} \\ = 30 + 2 \times 6 \sqrt{6}$