1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kamila [148]
3 years ago
12

Simplifying radicals! Please help me & Show WORK

Mathematics
1 answer:
andriy [413]3 years ago
3 0

Answer:

Solving the radical 4\sqrt{2}(-4\sqrt{15}+3\sqrt{18}) we get \mathbf{-16\sqrt{30}+72}

Step-by-step explanation:

We need to simplify the radical: 4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})

Prime factors of 18 are: 2x3x3

Replacing \sqrt{18} with its factors

4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3\times3})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3^2})

We know that \sqrt{3^2}=3

=4\sqrt{2}(-4\sqrt{15}+3\times3\sqrt{2})\\=4\sqrt{2}(-4\sqrt{15}+9\sqrt{2})

Multiplying 4\sqrt{2} with terms inside the bracket

=4\sqrt{2}(-4\sqrt{15})+4\sqrt{2}( 9\sqrt{2}))\\=-16\sqrt{2}\sqrt{15}+36\sqrt{2} \sqrt{2}

We know that \sqrt{2} \sqrt{2}=2

=-16\sqrt{2*15}+36(2)\\=-16\sqrt{30}+72

So, solving the radical 4\sqrt{2}(-4\sqrt{15}+3\sqrt{18}) we get \mathbf{-16\sqrt{30}+72}

You might be interested in
William got $150 for making all A’s on his report card. He wants to spend it on CDs and DVDs. The local video store is having a
olga55 [171]
What are the options?

3 0
3 years ago
Please help me if you know!! Thank you so much!!
Rus_ich [418]

Answer:

The Chinese act

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Three different divers kept track of the number of treasure boxes they've found this year.
steposvetlana [31]
Choice a i'm pretty sure !
7 0
2 years ago
Read 2 more answers
Evaluate 3xy²-y³ for x=-1 and y=2.<br><br>help.​
yanalaym [24]
The answer to this problem is -20
7 0
2 years ago
Read 2 more answers
Need help please help me
Ostrovityanka [42]
The solution is the point of intersection between the two equations.

Assuming you have a graphing calculator or a program to lets you graph equations (I use desmos) you simply put in the equetions and note down the coordinates of the point of intersection.

In the graph the first equation is in blue and the second in red.

The point of intersection = the solution = (-6 , -1)



If you dont have access to a graphing calculator you could draw the graphs by hand;

1) Draw a table of values for each equation; you do this by setting three or four values for x and calculating its image in y (you can use any values of x)

y = 0.5 x + 2 (Im writing 0.5 instead of 1/2 because I find its easier in this format)

x | y
-1 | 1.5 * y = 0.5 (-1) + 2 = 1.5
0 | 2 * y = 0.5 (0) + 2 = 2
1 | 2.5 * y = 0.5 (1) + 2 = 2.5
2 | 3 * y = 0.5 (2) + 2 = 3

y = x + 5

x | y
-1 | 4 * y = (-1) + 5 = 4
0 | 5 * y = (0) + 5 = 5
1 | 6 * y = (1) + 5 = 6
2 | 7 * y = (2) + 5 = 7

2) Plot these point on the graph
I suggest to use diffrent colored points or diffrent kinds of point markers (an x or a dot) to avoid confusion about which point belongs to which graph

3) Using a ruler draw a line connection all the dots of one graph and do the same for the other

4) The point of intersection is the solution

8 0
3 years ago
Read 2 more answers
Other questions:
  • ROUND 314.1593 TO THE NEAREST TENTH
    10·2 answers
  • Choose the equation below that represents the line passing through the point (−2, −3) with a slope of −6.
    13·1 answer
  • Which of the following similarity statements about the triangles in the figure is true?
    12·1 answer
  • If the exterior sides of two adjacent angles are opposite rays, then the angles are _____ angles.
    5·2 answers
  • the cost of state college tuition is currently at $22,500 per year and is rising at a rate of 4% each year. What will the same c
    8·1 answer
  • Find the measure of Arc AB.
    8·1 answer
  • (-q^2 + 3q + 4) - (7q^2 + 7q)
    14·1 answer
  • SUN 40
    10·1 answer
  • Korina used 9.3 pints of blue paint and white paint to paint her bedroom walls. 3/5 of this amount is blue paint, and the rest i
    14·1 answer
  • Which point is on the line that passes through (0, 6)<br> and is parallel to the given line?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!