Question

Simplify root 2 + 3 whole square by using identity(three is not root)

Answer 1

$\text{Identity :} (a+b)^2=a^2+2ab+b^2\\ \\ {( \sqrt{2} + 3) }^{2} \\ \\ = {( \sqrt{2}) }^{2} + 2 \times \sqrt{2} \times 3 + {3}^{2} \\ \\ = 2 + 6 \sqrt{2} + 9 \\ \\ = 11 + 6 \sqrt{2}$