Multiply. Write your answer in simplest form. -sqrt 3(-6 - sqrt 2) ______

Distribute -sqrt(3): Distribute -sqrt(3) to both terms inside the parentheses. -sqrt(3)(-6 - sqrt(2)) = -sqrt(3) * (-6) - sqrt(3) * (-sqrt(2))Multiply -sqrt(3) by -6: Multiply -sqrt(3) by -6. -sqrt(3) * (-6) = 6sqrt(3)Multiply -sqrt(3) by -sqrt(2): Multiply -sqrt(3) by -sqrt(2). -sqrt(3) * (-sqrt(2)) = sqrt(3) * sqrt(2) = sqrt(3 * 2) = sqrt(6)Combine results: Combine the results from Step 2 and Step 3. 6sqrt(3) + sqrt(6)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{3}(-6 - \sqrt{2})$

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}(-6 - \sqrt{2})

Distribute $-\sqrt{3}$ : Distribute $-\sqrt{3}$ to both terms inside the parentheses.-\sqrt{$3$}(\(-6 - \sqrt{ $2$ }) = -\sqrt{ $3$ } \times ( $-6$ ) - \sqrt{ $3$ } \times (-\sqrt{ $2$ })
Multiply $-\sqrt{3}$ by $-6$ : Multiply $-\sqrt{3}$ by $-6$ . $\newline$ $-\sqrt{3} \times (-6) = 6\sqrt{3}$
Multiply $-\sqrt{3}$ by $-\sqrt{2}$ : Multiply $-\sqrt{3}$ by $-\sqrt{2}$ . $-\sqrt{3} \times (-\sqrt{2}) = \sqrt{3} \times \sqrt{2} = \sqrt{3 \times 2} = \sqrt{6}$
Combine results: Combine the results from Step $2$ and Step $3$ . $6\sqrt{3} + \sqrt{6}$