Questions: 4 √3 - 1/2 √3 - √3

Transcript text: $4 \sqrt{3}-\frac{1}{2} \sqrt{3}-\sqrt{3}$

Solution

Step 1: Identify Like Terms

All the terms in the expression $4 \sqrt{3} - \frac{1}{2} \sqrt{3} - \sqrt{3}$ contain $\sqrt{3}$, so they are like terms and can be combined.

Step 2: Combine the Coefficients

Combine the coefficients of $\sqrt{3}$: \[ 4 - \frac{1}{2} - 1 \]

Step 3: Simplify the Coefficients

Calculate the result of the coefficients: \[ 4 - \frac{1}{2} - 1 = 4 - 1 - \frac{1}{2} = 3 - \frac{1}{2} = \frac{6}{2} - \frac{1}{2} = \frac{5}{2} \]

Step 4: Write the Final Expression

Multiply the simplified coefficient by $\sqrt{3}$: \[ \frac{5}{2} \sqrt{3} \]

$\boxed{\frac{5}{2} \sqrt{3}}$

Was this solution helpful?

Unhelpful

Helpful