Multiply. Write your answer in simplest form. -sqrt 2(-3 + sqrt 5) ______

Distribute -sqrt(2): Distribute -sqrt(2) to both terms inside the parentheses. -sqrt(2)(-3 + sqrt(5)) = -sqrt(2)*(-3) + -sqrt(2)*sqrt(5)Multiply -sqrt(2) by -3: Multiply -sqrt(2) by -3. -sqrt(2)*(-3) = 3*sqrt(2)Multiply -sqrt(2) by sqrt(5): Multiply -sqrt(2) by sqrt(5). -sqrt(2)*sqrt(5) = -sqrt(2*5) = -sqrt(10)Combine results: Combine the results from Step 2 and Step 3. 3*sqrt(2) - sqrt(10) This is the simplest form of the expression.

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{2}(-3 + \sqrt{5})$

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Algebra 2

Simplify radical expressions using the distributive property

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Q. Multiply. Write your answer in simplest form.

\newline

-\sqrt{2}(-3 + \sqrt{5})

Distribute $-\sqrt{2}$ : Distribute $-\sqrt{2}$ to both terms inside the parentheses. $-\sqrt{2}(-3 + \sqrt{5}) = -\sqrt{2}(-3) + -\sqrt{2}\sqrt{5}$
Multiply $-\sqrt{2}$ by $-3$ : Multiply $-\sqrt{2}$ by $-3$ . $-\sqrt{2}\cdot(-3)$ $= 3\sqrt{2}$
Multiply $-\sqrt{2}$ by $\sqrt{5}$ : Multiply $-\sqrt{2}$ by $\sqrt{5}$ . $\newline$ $-\sqrt{2}\times\sqrt{5}$ $\newline$ = $-\sqrt{2\times5}$ $\newline$ = $-\sqrt{10}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $3\sqrt{2} - \sqrt{10}$ $\newline$ This is the simplest form of the expression.