Multiply. Write your answer in simplest form. -sqrt 2(-8 - sqrt 2) ______

Distribute and Multiply: Distribute -sqrt(2) to both terms inside the parentheses. -sqrt(2)(-8 - sqrt(2)) = -sqrt(2)*(-8) - sqrt(2)*(-sqrt(2))Multiply by -8: Multiply -sqrt(2) by -8. -sqrt(2) * (-8) = 8sqrt(2)Multiply by -sqrt(2): Multiply -sqrt(2) by -sqrt(2). -sqrt(2) * (-sqrt(2)) = sqrt(2) * sqrt(2) = 2Combine Results: Combine the results from Step 2 and Step 3. 8sqrt(2) + 2

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{2}(-8 - \sqrt{2})$

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{2}(-8 - \sqrt{2})

Distribute and Multiply: Distribute $-\sqrt{2}$ to both terms inside the parentheses.-\sqrt{$2$}(\(-8 - \sqrt{ $2$ }) = -\sqrt{ $2$ }( $-8$ ) - \sqrt{ $2$ }(-\sqrt{ $2$ })
Multiply by $-8$ : Multiply $-\sqrt{2}$ by $-8$ . $-\sqrt{2} \times (-8) = 8\sqrt{2}$
Multiply by $-\sqrt{2}$ : Multiply $-\sqrt{2}$ by $-\sqrt{2}$ . $-\sqrt{2} \times (-\sqrt{2}) = \sqrt{2} \times \sqrt{2} = 2$
Combine Results: Combine the results from Step $2$ and Step $3$ . $8\sqrt{2} + 2$