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.\newline−5(6+2)-\sqrt{5}(6 + \sqrt{2})

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Simplify radical expressions using the distributive propertyright chevron icon

Full solution

Q. Multiply. Write your answer in simplest form.\newline−5(6+2)-\sqrt{5}(6 + \sqrt{2})
  1. Distribute −5-\sqrt{5}: Distribute −5-\sqrt{5} to both terms inside the parentheses.−5(6+2)=−5⋅6+−5⋅2-\sqrt{5}(6 + \sqrt{2}) = -\sqrt{5}\cdot 6 + -\sqrt{5}\cdot \sqrt{2}
  2. Multiply −5-\sqrt{5} by 66: Multiply −5-\sqrt{5} by 66.\newline−5×6-\sqrt{5} \times 6\newline=−65= -6\sqrt{5}
  3. Multiply −5-\sqrt{5} by 2\sqrt{2}: Multiply −5-\sqrt{5} by 2\sqrt{2}.\newline−5×2-\sqrt{5} \times \sqrt{2}\newline= −5×2-\sqrt{5 \times 2}\newline= −10-\sqrt{10}
  4. Combine results: Combine the results from Step 22 and Step 33.\newline−65−10-6\sqrt{5} - \sqrt{10}\newlineThis is the simplest form since 5\sqrt{5} and 10\sqrt{10} cannot be simplified further and have no common factors.

More problems from Simplify radical expressions using the distributive property

Question
Find the real-number root. \newline16\sqrt{16}\newline\newlineWrite your answer in simplified form. \newline____\_\_\_\_
Get tutor helpright-arrow

Posted 3 months ago

Question
Find the real-number root. \newline916\sqrt{\frac{9}{16}}\newlineSimplify your answer and write it as a decimal or as a proper or improper fraction.\newline_____\_\_\_\_\_
Get tutor helpright-arrow

Posted 3 months ago

Question
Find the real-number root using a calculator. Round your answer to the nearest thousandth. \newline`\sqrt{957} `\newline _______
Get tutor helpright-arrow

Posted 3 months ago

Question
Multiply. Write your answer in simplest form. \newline273×42\sqrt{273} \times \sqrt{42}\newline______
Get tutor helpright-arrow

Posted 1 month ago

Question
Simplify. \newline634\sqrt{\frac{63}{4}}\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Simplify. Rationalize the denominator.\newline−49−2\frac{-4}{9 - \sqrt{2}}\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Solve for z z .\newline16=z 16 = \sqrt{z} \newlinez= z = _____
Get tutor helpright-arrow

Posted 3 months ago

Question
Simplify the radical expression. 14x14 \sqrt{14x^{14}} Write your answer in the form A A , B \sqrt{B} , or AB A\sqrt{B} , where A A and B B are constants or expressions in x x . Use at most one radical in your answer, and at most one absolute value symbol in your expression for A A . ______
Get tutor helpright-arrow

Posted 3 months ago

Question
Simplify the radical expression.\newline12x12\sqrt{12x^{12}}\newlineWrite your answer in the form AA, B\sqrt{B}, or ABA\sqrt{B}, where AA and BB are constants or expressions in xx. Use at most one radical in your answer, and at most one absolute value symbol in your expression for AA.\newline‾\underline{\hspace{3cm}}
Get tutor helpright-arrow

Posted 3 months ago

Question
What is the value of sin⁡(5π6)? \sin \left(\frac{5 \pi}{6}\right) ? \newlineChoose 11 answer:\newline(A) −32 -\frac{\sqrt{3}}{2} \newline(B) −22 -\frac{\sqrt{2}}{2} \newline(C) 12 \frac{1}{2} \newline(D) 150150
Get tutor helpright-arrow

Posted 4 months ago

View all (139)