The numbers are expressed in the simplest radical form as 15x√7x.
How to express the numbers in simplest radical form?
The given expressions is expressed in the simplest radical form by applying the following method;
The given numbers;
- √(175x³) + 4x√175x
The numbers is simplified as follows;
175 = 25 · 7
x³ = x² · x
We will replace 175 with 25 · 7 and replace x³ with x² · x.
= - √(175x³) + 4x√175x
= - √(25 · 7 · x² · x) + 4x√(25 ·7x)
= -5x√(7x) + 4x(5)√(7x)
= -5x√7x + 20x√7x
= (20x - 5x)√7x
= 15x√7x
Thus, the numbers are expressed in the simplest radical form as 15x√7x.