Question
Express in simplest radical form
-7 square root 28x^5 + 10x^2 square root 7x
-7 square root 28x^5 + 10x^2 square root 7x
Answers
GPT 3.5
To simplify the expression, let's break down the terms:
1) -7 √(28x^5)
We can simplify the radical by factoring out the largest perfect square. In this case, 28 can be factored as 4 * 7, and x^5 can be written as x^4 * x.
-7 √(4 * 7 * x^4 * x)
-7 * 2x^2 √(7x)
2) 10x^2 √(7x)
No simplification can be done to this term.
Therefore, the simplified expression is:
-14x^2 √(7x) + 10x^2 √(7x)
1) -7 √(28x^5)
We can simplify the radical by factoring out the largest perfect square. In this case, 28 can be factored as 4 * 7, and x^5 can be written as x^4 * x.
-7 √(4 * 7 * x^4 * x)
-7 * 2x^2 √(7x)
2) 10x^2 √(7x)
No simplification can be done to this term.
Therefore, the simplified expression is:
-14x^2 √(7x) + 10x^2 √(7x)