The expanded form of √8t can be written as: [tex]\mathbf{(2\sqrt{2}\sqrt{t})}[/tex]
An expanded form simply means breaking down the mathematical steps of an expression to its lowest divisible value.
From the given surd equation, we can break down the equation by finding the factors of 8, then finding the square root of the factors.
i.e.
[tex]\mathbf{\sqrt{8t} = \sqrt{4\times 2 \times t}}[/tex]
- The square root of 4 is = 2
∴
[tex]\mathbf{\sqrt{8t} = 2\sqrt{2 \times t}}[/tex]
[tex]\mathbf{\sqrt{8t}=2\sqrt{2}\sqrt{t}}[/tex]
Learn more about surds here:
https://brainly.com/question/24436961?referrer=searchResults
