Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. Write your answer in simplest form. \newline2(4−3)\sqrt{2}(4 - \sqrt{3})

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Simplify radical expressions using the distributive propertyright chevron icon

Full solution

Q. Multiply. Write your answer in simplest form. \newline2(4−3)\sqrt{2}(4 - \sqrt{3})
  1. Distribute 2\sqrt{2}: Distribute 2\sqrt{2} across the terms inside the parentheses.\newline2(4−3)=2×4−2×3\sqrt{2}(4 - \sqrt{3}) = \sqrt{2} \times 4 - \sqrt{2} \times \sqrt{3}
  2. Multiply 2\sqrt{2} by 44: Multiply 2\sqrt{2} by 44.\newline2×4=42\sqrt{2} \times 4 = 4\sqrt{2}
  3. Multiply 2\sqrt{2} by 3\sqrt{3}: Multiply 2\sqrt{2} by 3\sqrt{3} using the product rule of radicals.2×3=2×3=6\sqrt{2} \times \sqrt{3} = \sqrt{2 \times 3} = \sqrt{6}
  4. Combine results: Combine the two results to get the final expression. 42−64\sqrt{2} - \sqrt{6}

More problems from Simplify radical expressions using the distributive property

Question
Simplify. \newline925\sqrt{\frac{9}{25}}\newline_____________
Get tutor helpright-arrow

Posted 3 months ago

Question
Convert.\newline1,0001,000 milligrams\text{ milligrams}=____\_\_\_\_ grams\text{ grams}
Get tutor helpright-arrow

Posted 3 months ago

Question
A 33-gallon bottle of bleach costs $11.52\$11.52. What is the price per quart?\newline`$`_____
Get tutor helpright-arrow

Posted 3 months ago

Question
Maureen can't wait to make chocolate chip zucchini bread with zucchini from her garden. Her recipe calls for 88 ounces of chocolate chips per loaf. If she has enough zucchini to make 44 loaves of zucchini bread, how many pounds of chocolate chips does she need?\newlineHint: There are 1616 ounces in 11 pound.\newlineWrite your answer as a whole number, decimal, or simplified fraction. Do not round.\newline____ pounds
Get tutor helpright-arrow

Posted 3 months ago

Question
A whale is swimming due north at a speed of 3030 miles per hour. Just 55 miles away, a whale-watching tour boat is traveling south, directly toward the whale, at a speed of 4646 miles per hour. How long will it be before they meet? If necessary, round your answer to the nearest minute. ____\_\_\_\_ hours and ____\_\_\_\_ minutes
Get tutor helpright-arrow

Posted 3 months ago

Question
Convert. \newline 500500 milligrams == _____ grams
Get tutor helpright-arrow

Posted 4 months ago

Question
Convert. \newline 2,0002,000 milligrams == _____ grams
Get tutor helpright-arrow

Posted 4 months ago

Question
Convert. \newline 750750 milligrams == _____ grams
Get tutor helpright-arrow

Posted 4 months ago

Question
Convert. \newline1,5001,500 milligrams == _____ grams
Get tutor helpright-arrow

Posted 4 months ago

Question
Convert. \newline1,5001,500 milligrams == _____ grams
Get tutor helpright-arrow

Posted 4 months ago

View all (27)