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. \newline5(−4+5)\sqrt{5}(-4 + \sqrt{5})

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. \newline5(−4+5)\sqrt{5}(-4 + \sqrt{5})
  1. Distribute 5\sqrt{5}: Distribute 5\sqrt{5} to both terms inside the parentheses.5(−4+5)\sqrt{5}(-4 + \sqrt{5}) = 5×(−4)+5×5\sqrt{5} \times (-4) + \sqrt{5} \times \sqrt{5}
  2. Multiply by −4-4: Multiply 5\sqrt{5} by −4-4.5×(−4)=−4×5\sqrt{5} \times (-4) = -4 \times \sqrt{5}
  3. Multiply by 5\sqrt{5}: Multiply 5\sqrt{5} by 5\sqrt{5}.5×5\sqrt{5} \times \sqrt{5}=5= 5
  4. Combine results: Combine the results from Step 22 and Step 33.\newline−4×5+5-4 \times \sqrt{5} + 5

More problems from Simplify radical expressions using the distributive property

Question
Order the expressions from least to greatest.\newline11182−6022×5 11^{1} \quad8^{2}-60 \quad 2^{2} \times 5
Get tutor helpright-arrow

Posted 10 months ago

Question
Order the expressions from least to greatest.\newline23−2121+3132 2^{3}-2^{1} \quad 2^{1}+3^{1} \quad 3^{2}
Get tutor helpright-arrow

Posted 10 months ago

Question
Let y=ex y=\sqrt{e^{x}} .\newlineFind dydx \frac{d y}{d x} .\newlineChoose 11 answer:\newline(A) ex2 \frac{\sqrt{e^{x}}}{2} \newline(B) ex \sqrt{e^{x}} \newline(C) xex−1 x \sqrt{e^{x-1}} \newline(D) 12ex \frac{1}{2 \sqrt{e^{x}}}
Get tutor helpright-arrow

Posted 9 months ago

Question
What is the area of the region between the graphs of f(x)=−x2+2x+12 f(x)=-x^{2}+2 x+12 and g(x)=x2−12 g(x)=x^{2}-12 from x=−3 x=-3 to x=4 x=4 ?\newlineChoose 11 answer:\newline(A) 77\newline(B) 3433 \frac{343}{3} \newline(C) 833 \frac{83}{3} \newline(D) 52313−1−323 \frac{52}{3} \sqrt{13}-1-32 \sqrt{3}
Get tutor helpright-arrow

Posted 9 months ago

Question
What is the average value of 1x \frac{1}{x} on the interval 4≤x≤8 4 \leq x \leq 8 ?\newlineChoose 11 answer:\newline(A) 316 \frac{3}{16} \newline(B) 116 \frac{1}{16} \newline(C) ln⁡(32)4 \frac{\ln (32)}{4} \newline(D) ln⁡(2)4 \frac{\ln (2)}{4}
Get tutor helpright-arrow

Posted 9 months ago

Question
p(t)=31(2)2tp(t)=31(2)^{2t}\newlineThe equation models pp, the amount of bacteria in colony-forming units in a bacteria culture after tt hours of growth. Which of the following statements is the best interpretation of the ordered pair (2,496)(2,496) ?
Get tutor helpright-arrow

Posted 8 months ago

Question
Simplify the expression. Write your answers using integers or improper fractions.\newline−(−2y+8)+12y -(-2 y+8)+\frac{1}{2} y \newlineAnswer:
Get tutor helpright-arrow

Posted 8 months ago

Question
Simplify the expression. Write your answers using integers or improper fractions.\newline−15(−25q+25)−q -\frac{1}{5}(-25 q+25)-q \newlineAnswer:
Get tutor helpright-arrow

Posted 8 months ago

Question
Perimeter ×\times Area .\newlineA000028016000028016
Get tutor helpright-arrow

Posted 8 months ago

Question
Simplify. Rationalize the denominator. \newline6−4+3\frac{6}{-4 + \sqrt{3}}
Get tutor helpright-arrow

Posted 8 months ago

View all (25)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant