Questions: √v(-v^2)

Transcript text: $\sqrt{v}\left(-v^{2}\right)$

Solution

Solution Steps

To solve the expression $\sqrt{v}(-v^2)$, we need to evaluate the expression by substituting a value for $v$. The expression involves taking the square root of $v$ and then multiplying it by the negative of $v$ squared.

Step 1: Evaluate the Expression

To evaluate the expression $\sqrt{v}(-v^2)$, we substitute $v = 4$ into the expression. This gives us:

\[ \sqrt{4} \times (-4^2) \]

Step 2: Calculate the Square Root

Calculate the square root of 4:

\[ \sqrt{4} = 2 \]

Step 3: Calculate the Square of $v$

Calculate the square of 4:

\[ 4^2 = 16 \]

Step 4: Multiply the Results

Multiply the results from Step 2 and Step 3, and apply the negative sign:

\[ 2 \times (-16) = -32 \]

Final Answer

$\boxed{-32}$

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