simplify expression 4ab(sqrt2b)-3a(sqrt18b^3)=7ab(sqrt6b)

[ashley7357]

simplify the expression 4ab(sqrt2b)-3a(sqrt18b^3)=7ab(sqrt6b)

[snowdrifter]

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]

simplify the expression 4ab(sqrt2b)-3a(sqrt18b^3)=7ab(sqrt6b)

The instructions say to "simplify the expression", but the "equals" sign makes this an equation...?

[aeb]

simplify the expression 4ab(sqrt2b)-3a(sqrt18b^3)=7ab(sqrt6b)

i do not unstand this please someone help ...[img] :confused

[snowdrifter]

To clarify, this was the question

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.