Question

Can you guys help me by checking my work?
Simplify: 10radical2x^3 - xradical98x + radical50x^3. My answer: 8radical2x. Is that correct?

Answer 1

\[10\sqrt{2x^3} - x\sqrt{98x} + \sqrt{50x^3}\]
is that the question?

Answer 2

Yes

Answer 3

\[\sqrt{2x^3} = \sqrt{2 \times x \times x^2} = x\sqrt{2x}\]
\[\sqrt{98x} = \sqrt{2 \times 49 \times x} = 7\sqrt{2x}\]
\[\sqrt{50x^3} = \sqrt{2 \times 25 \times x^2 \times x} = 5x \sqrt{2x}\]

so if we simplify we have

\[\large 10x \sqrt{2x} - 7x \sqrt{2x} + 5x\sqrt{2x}\]
\[\large \implies 8x\sqrt{2x}\]
\[\huge \checkmark\]
you're right

Answer 4

Thanks :)