Question

how do you simplify: -6sqrt(9x)+3sqrt(64x)-sqrt(50x)

Answer 1

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)

Answer 2

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

Answer 3

whoops, typo. It is.

Answer 4

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

Answer 5

Thank you so much!