Multiply. Write your answer in simplest form. -sqrt 5(-10 + sqrt 3) ______

Distribute -sqrt(5): Distribute -sqrt(5) to both terms inside the parentheses. -sqrt(5)(-10 + sqrt(3)) = -sqrt(5) * (-10) + (-sqrt(5)) * sqrt(3)Multiply -sqrt(5) by -10: Multiply -sqrt(5) by -10. -sqrt(5) * (-10) = 10sqrt(5)Multiply -sqrt(5) by sqrt(3): Multiply -sqrt(5) by sqrt(3). (-sqrt(5)) * sqrt(3) = -sqrt(5 * 3) = -sqrt(15)Combine results: Combine the results from Step 2 and Step 3. 10sqrt(5) - sqrt(15)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{5}(-10 + \sqrt{3})$

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{5}(-10 + \sqrt{3})

Distribute $-\sqrt{5}$ : Distribute $-\sqrt{5}$ to both terms inside the parentheses. $-\sqrt{5}(-10 + \sqrt{3}) = -\sqrt{5} \times (-10) + (-\sqrt{5}) \times \sqrt{3}$
Multiply $-\sqrt{5}$ by $-10$ : Multiply $-\sqrt{5}$ by $-10$ . $-\sqrt{5} \times (-10) = 10\sqrt{5}$
Multiply $-\sqrt{5}$ by $\sqrt{3}$ : Multiply $-\sqrt{5}$ by $\sqrt{3}$ . $\newline$ $\left(-\sqrt{5}\right) \times \sqrt{3} = -\sqrt{5 \times 3} = -\sqrt{15}$
Combine results: Combine the results from Step $2$ and Step $3$ . $10\sqrt{5} - \sqrt{15}$