SOLUTION: Simplify Completely, keep all answers and work in radical form 5*sqrt(128x^3)+4*sqrt(98x^2)-3x*sqrt(162x)

SOLUTION: Simplify Completely, keep all answers and work in radical form 5sqrt(128x^3)+4sqrt(98x^2)-3x*sqrt(162x)

Question 1192821: Simplify Completely, keep all answers and work in radical form
5*sqrt(128x^3)+4*sqrt(98x^2)-3x*sqrt(162x)
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

Notice that 128 = 64*2 showing that 64 is the largest perfect square factor of 128.
Similarly, x^2 is the largest perfect square factor of x^3

We can rewrite 128x^3 into 64x^2*2x to be able to perform this simplification

Use the rule that sqrt(A*B) = sqrt(A)*sqrt(B)

Such that

Through similar logic, we can also say:

And also,

Use the three results we got earlier above to simplify the given expresdsion like so

Therefore,
simplifies to

Or we can say

only when

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