Question

Simplify 2√25y^8 × 4√6y^3

Answer 1

`2\sqrt[]{25y^8}*4\sqrt[]{6y^3}=8\sqrt[]{150y^(11)}`

Step-by-step explanation:

Given the expression:

`2\sqrt[]{25y^8}*4\sqrt[]{6y^3}`

To simplify this, first rewrite the expression as

`2*4*\sqrt[]{25y^8*6y^3}`

This is the same as

`2*4*\sqrt[]{25*6* y^8* y^3}`

Evaluating this, we have

`\begin{gathered} 8\sqrt[]{150* y^(8+3)} \\ \\ =8\sqrt[]{150* y^(11)} \\ \\ =8\sqrt[]{150y^(11)} \end{gathered}`