Question

Which expressions are equivalent to 5x√28x^5+ 8x^3√7x, if I > 0? 13x^4√35x^65x√28x + 32x^3√28x 20x^4√7x+ 8x^4√7x 28x^4√7x 10x^3 √7x + 8x^3√7x 18x^3√7

Answer 1

See image

Explanation:

Plato/Edmentum

Answer 2

we have the expression

`5x\sqrt[]{28x^5}+8x^3\sqrt[]{7x}`

we know that

28=(2^2)(7)

x^5=(x^4)(x)

substitute in the expression above

`\begin{gathered} 5x\sqrt[]{7\cdot2^2\cdot x^4\cdot x}+8x^3\sqrt[]{7x} \\ \text{Simplify} \\ 5\cdot x\cdot2^{}\cdot x^2\sqrt[]{7\cdot x}+8x^3\sqrt[]{7x} \\ 10x^3\sqrt[]{7x}+8x^3\sqrt[]{7x} \\ 18x^3\sqrt[]{7x} \end{gathered}`