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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.

User Hemant Metalia
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