Question

Factorise
x²+ √2x - 24

Answer 1

Answer:

Given

$x {}^{2} + \sqrt{2} x - 24 \\ = x {}^{2} + 4 \sqrt{2} x - 3 \sqrt{2} x - 24 \\ = (x {}^{2} + 4 \sqrt{2} x) - (3 \sqrt{2} x + 24) \\ = x(x + 4 \sqrt{2} ) - 3 \sqrt{2} (x + 4 \sqrt{2} ) \\ = (x - 3 \sqrt{2} )(x + 4 \sqrt{2} )$

I hope it will help.