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
Katarina [22]
3 years ago
13

What is the exact value of the expression the square root of 486. − the square root of 24. + the square root of 6.? Simplify if

possible.
Mathematics
1 answer:
kenny6666 [7]3 years ago
8 0
Sqrt(486) - sqrt(24) + sqrt(6)

find the factors of 486 that we can remove from under the square root sign
 2 * 243
 2 * 3 * 81
 2 * 3 * 9 * 9 (we have 2 nines, we can move a 9 outside the sqrt sign)
sqrt(486) = 9 sqrt(6)

Repeating for sqrt(24)
2 * 12
2 * 2 * 6
2 * 2 * 2 * 3 (we can move a 2 outside the sqrt
sqrt(24) = 2 sqrt(6)

Finally, add all 3 terms together

9 sqrt(6) - 2 sqrt(6) + sqrt(6)
8 sqrt(6)

8 times square root of 6 is the final answer
You might be interested in
Model and solve 2÷2/3
NeX [460]

Answer: 1/3

Step-by-step explanation:

1 divided by 3 = 1/3

7 0
3 years ago
Read 2 more answers
Which expressions have the same solution as –4(6)? Check all that apply.
geniusboy [140]

Answer:

4(-6), 6(-4), 12(-2)

Step-by-step explanation:

-4(6) = -4 x 6 = -24

so

4(-6) = 4 x -6 = -24

6(-4) = 6 x -4 =  -24

12(-2) = 12 x -2 = -24

8 0
3 years ago
Read 2 more answers
Which graph represents the following piecewise defined function?
kenny6666 [7]
The correct answer is shown in attached figure
To find the correct graph, we should study the continuity of the function

Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2

Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3


From the previous results the correct graph is the last as shown in attached graph.



5 0
3 years ago
Read 2 more answers
Mary is twice as old as Helen’s age, If 8 is subtracted from Helen’s Age and 4 is added to Mary Age? Mary will be 4 times as old
erik [133]

Answer:

set mary is x years old, and helen is y years old.

first sentence:x=2y

second one:4(y-8)=x+4

bring x=2y in 4(y-8)=x+4

=>4y-32=2y+4

=>2y=36

=>y=18

=>x=36

mary:36

helen:18

3 0
3 years ago
19. Find the pressure exerted by a force of 240 newtons on an area of 30cm? Please help I will mark as brilliant
Dafna1 [17]

Answer: 80000

Step-by-step explanation:

p=<u>f </u>

    a

<u>24</u>

0.003

NOTE:30  ÷10000=<u>0.030km</u>

7 0
3 years ago
Other questions:
  • HELP FAST!!!!!!!! The Mogul Runners ski club planned a trip to Park City. Of the total number of club members, 11 signed up to g
    10·1 answer
  • What is the distance between −131 and −87 on a number line?
    11·1 answer
  • What is the discriminant in the quadratic equation x2 + 11x + 121 = x + 96
    6·1 answer
  • The average distance of all data values from the mean of the data is called the
    9·1 answer
  • Christine is building a deck in her backyard. In order to place the
    5·1 answer
  • Suppose that a "code" consists of 3 digits, none of which is repeated. (A digit is one of the 10 numbers 0, 1, 2, 3, 4, 5, 6, 7,
    6·1 answer
  • Sam’s parents agreed to pay 25 percent of the cost of a new bike if Sam paid the rest.
    5·2 answers
  • Jessica is stacking items on a shelf she has large books that weigh 5 pounds each and medium books that weigh 3 pounds each. The
    7·1 answer
  • In the general population, the mean IQ is 100 with a standard deviation of 15. Dr. Robbins wants to see if a class of statistics
    6·1 answer
  • What is the slope of the function represented by the table of values below
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!