Simplify root18x^5 - root8x^3 to a single simplified square root

Question

Nothing            A

Answer 1

Quinow, if I understand what your problem is, 18x⁵ = 9x⁴(2x) We can take the square root of 9x⁴, which is 3x². The 2x stays under the radical, so we have 3x²√(2x).

 

8x³ = 4x²(2x). The square root of 4x² is 2x, but the remaining 2x again stays under the radical. 2x√(2x)

 

So, we have 3x²√(2x) - 2x√(2x) = (3x² - 2x)√(2x)

 

Hope this helps!

Answer 2

     √( 18 X⁵ ) - √( 8X³ )

 

= √(9X⁴)(2X)  -  √(4X²)(2X)

 

=  3X² √(2X)  -  2X √(2X)

 

=  (3X² - 2X ) √(2X)

Answer 3

√(18x⁵) - √(8x³)

3x√2x³ - 2√2x³

2√2x³(3x - 2)

2x√2x(3x - 2)