# Thread: I need help simplifying ...

1. ## I need help simplifying ...

Help me simplify ...

$\displaystyle sqrt{90(2x-3y)^6}$

2. Use parentheses to clarify meaning.

Do you mean this: $\displaystyle \sqrt{90*(2x-3y)^6}$?

Hints:

90 = 9*10

$\displaystyle (2x-3y)^{6}\;=\;[(2x-3y)^{3}]^{2}$

Let's see what you get.

3. Originally Posted by TKHunny
Use parentheses to clarify meaning.

Do you mean this: $\displaystyle \sqrt{90*(2x-3y)^6}$?

Hints:

90 = 9*10

$\displaystyle (2x-3y)^{6}\;=\;[(2x-3y)^{3}]^{2}$

Let's see what you get.
Thank you. I only just joined the forums today. I've tried to get the math text functions down as best I could. The function I was trying to write appears as you have typed it. I'll take your hints and see what I can do with them.

4. I'm getting $\displaystyle (3x-4y)^3$

Is that correct? I multiplied the 90 into the equations making 180x-240y to 3x-4y

5. Originally Posted by XIII13Thirteen
I'm getting $\displaystyle (3x-4y)^3$

Is that correct? I multiplied the 90 into the equations making 180x-240y to 3x-4y
Not quite. Think of it this way:
$\displaystyle \sqrt{90(3x - 4y)^6} = \sqrt{90} \cdot \sqrt{(3x - 4y)^6}$

What does $\displaystyle \sqrt{90}$ simplify to?

-Dan

6. Originally Posted by topsquark
Not quite. Think of it this way:
$\displaystyle \sqrt{90(3x - 4y)^6} = \sqrt{90} \cdot \sqrt{(3x - 4y)^6}$

What does $\displaystyle \sqrt{90}$ simplify to?

-Dan
$\displaystyle 3\sqrt{10}$

7. So is it

$\displaystyle 3\sqrt{10} * [(2x-3y)^{3}]^{2}$ ?

8. Originally Posted by XIII13Thirteen
So is it

$\displaystyle 3\sqrt{10} * [(2x-3y)^{3}]^{2}$ ?
$\displaystyle 3\sqrt{10} \cdot (2x - 3y)^3$
9. $\displaystyle 3\sqrt{10} \cdot \sqrt{[(2x - 3y)^3]^2}$