Question

factorise x^2+5√2x+12​

Answer 1

Answer:

${x }^{2} + 5 \sqrt{2 } x + 12 \\ = {x}^{2} + 3 \sqrt{2} x + 2\sqrt{2}x + 12 \\ = x(x + 3 \sqrt{2} ) + 2 \sqrt{2} (x + 3 \sqrt{2} ) \\ = (x + 3 \sqrt{2} )(x + 2 \sqrt{2)}$

Answer 2

x2+5root2x+12=0

x2+2root2x+3root2x+12=0

x(x+2root2)+3root2(x+2root2)=0

(x+3root2)(x+2root2)=0

x=-3root2,-2root2