## anonymous 5 years ago how do you simplify: -6sqrt(9x)+3sqrt(64x)-sqrt(50x)

1. anonymous

You can break up the square roots to $-6\sqrt{x}\sqrt{9} + 3\sqrt{x}\sqrt{64} -\sqrt{x}\sqrt{50}$ sqrt(9) = 3 sqrt(64) = 6 sqrt(50) = 5sqrt(2) So now we have: $-18\sqrt{x} + 18\sqrt{x} - 5\sqrt{2x}$ This simplifies to -5sqrt(2x)

2. anonymous

but...i thought the square root of 64 was 8?

3. anonymous

whoops, typo. It is.

4. anonymous

Instead $-18\sqrt{x} + 24\sqrt{x} - 5\sqrt{2x}$ so it simplifies to: 6sqrt(x) - 5sqrt(2x)

5. anonymous

Thank you so much!