Question

P2+3√2p+4
find the factor of this and solve
​

Answer 1

$p^{2} + 3 \sqrt{2} p + 4$

$p ^{2} + (2 \sqrt{2} + \sqrt{2})p + 4$

$p ^{2} + 2 \sqrt{2} p + \sqrt{2}p + 4$

$p(p + 2 \sqrt{2} ) + \sqrt{2} (p + 2 \sqrt{2} \: )$

$solving \: \: for \: \: p$

$(p + \sqrt{2} ) = 0$

$p = - \sqrt{2}$

or

$p + 2 \sqrt{2} = 0$

$p = - \sqrt[2]{2}$