Option 3:
is the right answer
Step-by-step explanation:
Given expression is:
![(\sqrt{2})(\sqrt[3]{2} )](https://tex.z-dn.net/?f=%28%5Csqrt%7B2%7D%29%28%5Csqrt%5B3%5D%7B2%7D%20%29)
In order to simplify the expression we have to convert the radicals in exponents

As he base is same, the powers can be added

Hence,
Option 3:
is the right answer
Keywords: Exponents, radicals
Learn more about exponents at:
#LearnwithBrainly
Answer:
20 square feet
Step-by-step explanation:
The length of a rectangular deck is five times it's width if the decks perimeter is 24 feet what is the decks area
Step 1
We find the Length and Width of the deck
Perimeter of a rectangle = 2L + 2W
The length of a rectangular deck is five times it's width
W = Width
L = Length = 5W
P = 24 feet
Perimeter = 2(5W) + 2W
24 = 10W + 2W
24 = 12 W
W = 24/12
W = 2 feet
Solving for L
L = 5W
L = 5 × 2 feet
L = 10 feet
Step 2
We find the area of the deck
Area of the deck(Rectangle) = Length × Width
= 10 feet × 2 feet
= 20 square feet
Answer:

Step-by-step explanation:
Hope it will help you a lot.
Answer: x² + y² - 2x - 8y + 13 = 0
Step-by-step explanation:
the equation of the circle is in the form (x - a)² + (y - b)² = r²
where (a,b) is the center of the circle and r is the radius
hence the equation is
(x - 1)² + (y - 4)² = 2²
x²-2x+1+y²-8y+16= 4
x²+ y² -2x- 8y + 17 =4
x² + y² - 2x - 8y = -13
x² + y² - 2x - 8y + 13 = 0