Multiply. Write your answer in simplest form. -sqrt 3(-5 + sqrt 3) ______

Distribute -sqrt(3): Distribute -sqrt(3) to both terms inside the parentheses. -sqrt(3)(-5 + sqrt(3)) = -sqrt(3)*(-5) + -sqrt(3)*sqrt(3)Multiply -sqrt(3) by -5: Multiply -sqrt(3) by -5. -sqrt(3) * (-5) = 5sqrt(3)Multiply -sqrt(3) by sqrt(3): Multiply -sqrt(3) by sqrt(3). -sqrt(3) * sqrt(3) = -(sqrt(3))^2 Since the square root and the square cancel each other out, this simplifies to -3.Combine the results: Combine the results from Step 2 and Step 3. 5sqrt(3) - 3 This is the final answer in simplest form.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{3}(-5 + \sqrt{3})$

View step-by-step help

Home

Math Problems

Algebra 2

Simplify radical expressions using the distributive property

Full solution

Q. Multiply. Write your answer in simplest form.

\newline

-\sqrt{3}(-5 + \sqrt{3})

Distribute $-\sqrt{3}$ : Distribute $-\sqrt{3}$ to both terms inside the parentheses. $-\sqrt{3}(-5 + \sqrt{3}) = -\sqrt{3}(-5) + -\sqrt{3}\sqrt{3}$
Multiply $-\sqrt{3}$ by $-5$ : Multiply $-\sqrt{3}$ by $-5$ . $\newline$ $-\sqrt{3} \times (-5) = 5\sqrt{3}$
Multiply $-\sqrt{3}$ by $\sqrt{3}$ : Multiply $-\sqrt{3}$ by $\sqrt{3}$ . $\newline$ $-\sqrt{3} \times \sqrt{3} = -(\sqrt{3})^2$ $\newline$ Since the square root and the square cancel each other out, this simplifies to $-3$ .
Combine the results: Combine the results from Step $2$ and Step $3$ . $\newline$ $5\sqrt{3} - 3$ $\newline$ This is the final answer in simplest form.