simplify expression 4ab(sqrt2b)-3a(sqrt18b^3)=7ab(sqrt6b)
-
ashley7357
- Posts: 3
- Joined: Tue Jan 18, 2011 1:50 am
- Contact:
simplify expression 4ab(sqrt2b)-3a(sqrt18b^3)=7ab(sqrt6b)
simplify the expression 4ab(sqrt2b)-3a(sqrt18b^3)=7ab(sqrt6b)
-
snowdrifter
- Posts: 18
- Joined: Tue Jan 11, 2011 4:52 pm
- Contact:
Re: simplify the expression
ashley7357 wrote:simplify the expression 4ab(sqrt2b)-3a(sqrt18b^3)=7ab(sqrt6b)
I assume your question is: Simplify 4ab(sqrt(2b))-3a(sqrt(18b^3))=7ab(sqrt(6b))
In that case square both sides. The left side is of the equation is complicated but if you square it using
(x - y)^2 = x^2 -2xy + y^2 you will find that for this particular question you end up with a perfect square under the root in the 2xy term. Then it is a matter of gathering like terms.
-
stapel_eliz
- Posts: 1731
- Joined: Mon Dec 08, 2008 4:22 pm
- Contact:
Re: simplify the expression
ashley7357 wrote:simplify the expression 4ab(sqrt2b)-3a(sqrt18b^3)=7ab(sqrt6b)
i do not unstand this please someone help ...[img] :confused
-
snowdrifter
- Posts: 18
- Joined: Tue Jan 11, 2011 4:52 pm
- Contact:
Re: simplify the expression
To clarify, this was the question
Simplify:
And yes, we are simplifying an equation.
The first step is:^2 = (7ab sqrt{6b})^2)
If you are careful with the algebra, you can eliminate all the radicals.
In fact, as long as b is not equal to zero you can solve this equation for a.
Which, I suppose, is as simple as it gets.
Simplify:
And yes, we are simplifying an equation.
The first step is:
If you are careful with the algebra, you can eliminate all the radicals.
In fact, as long as b is not equal to zero you can solve this equation for a.
Which, I suppose, is as simple as it gets.