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
denpristay [2]
2 years ago
13

What is the simplified form of the following expression?

Mathematics
2 answers:
Zigmanuir [339]2 years ago
7 0
2 \sqrt{18} +3 \sqrt{2} + \sqrt{168} =25.558
A. 8.485
B. 25.558
C. 42.426
D. 50.911

B. 18 \sqrt{2} is your answer
Dahasolnce [82]2 years ago
5 0

Answer:

Option B is correct.

The simplified form of the given expression is, 18\sqrt{2}.

Explanation:

Given the expression:  2\sqrt{18} +3 \sqrt{2} +\sqrt{162}

Square root of a number is a value that when multiplied by itself, gives the number.

\sqrt{a^2}=\sqrt{a \times a}= a

we can write the given expression as;

2\sqrt{9 \times 2} +3\sqrt{2} +\sqrt{2 \times 81} or

2\sqrt{3^2 \times 2}+3 \sqrt{2} +\sqrt{9^2 \times 2}

Then by definition of square root,

2 \cdot 3 \sqrt{2} +3\sqrt{2}+9 \sqrt{2} or

6\sqrt{2} +3\sqrt{2} +9\sqrt{2} = 18\sqrt{2}

Therefore, the simplified form of the given expression is, 18\sqrt{2} .




You might be interested in
the cab charges $1.75 for the flst fee and $0.25 for each mile. write and solve an inequality to determine how many miles eddie
Dominik [7]

0.25m + 1.75= 15

Move +1.75 to the right side of the equal sign which becomes -1.75

0.25m=15-1.75

subtract 15 and 1.75 which is 13.25

0.25m=13.25

divide 0.25 by both sides. 0.25m divided by 0.25 is 1m and 13.25 divided by 0.25 is 53.

He can travel 53 miles

0.25m + 1.75= 15

6 0
2 years ago
Reinhardt Furniture Company has 40,000 shares of cumulative preferred 2% stock, $150 par and 100,000 shares of $5 par common sto
Ann [662]

Answer:

for year 1

common stock =  $1.75 per share

preferred stock  = Zero

for year 2

common stock =  $4.25 per share

preferred stock  = $0.3 per share

for year 3

common stock =   $3 per share

preferred stock  =  $2 per share

Step-by-step explanation:

step 1

preferred stock value =  (40000 shares * $150) = $6000000

common stock value  = (100000 shares * $5) = $500000

 step 2

For year 1:

Dividend on preferred stock;

\frac{6000000 * 2}{100} = $120000

But total dividend in the question was $70000 therefore total amount of  dividend on cumulative preferred stock is $70000.

hence, dividend per share

= \frac{70000}{40000 shares} = $1.75 per share

Dividend on common stock;

70,000 - 70,000 = Zero

as total dividend distributed in year 1 is insufficient for cumulative preferred stock therefore no dividend will be paid on common stock.

For year 2:

Dividend on cumulative preferred stock;

\frac{6000000 * 2}{100}= $120000

extra dividend of year 1 ($120000 - $70000) = $50000

Thus total dividend on cumulative preferred stock

($120000 + $50000) = $170000

So dividend per share

\frac{170000}{40000\ shares}= $4.25 per share

Dividend on common stock;

($200000 – $170000) = $30000

dividend per share

\frac{30000}{100000\ shares} = $0.3 per share

For year 3:

Dividend on cumulative preferred stock;

\frac{6000000 * 2}{100} = $120000

total dividend on cumulative preferred stock $120000

dividend per share

\frac{120000}{40000 shares} = $3 per share

No dividend was extra in the year 2 therefore only available dividend of this year will be paid.

Dividend on common stock;

($320000 – $120000) = $200000

dividend per share

\frac{200000}{100000\ shares}= $2 per share

3 0
2 years ago
Question 6(Multiple Choice Worth 5 points)
9966 [12]
Question 6: $38.82
question 7: t=5w
question 8: which blood type does the leaf number of people have
3 0
2 years ago
Read 2 more answers
Each lap around a park is 0.58 miles. Jessica walked 3.25 laps around the park. How many miles did Jessica walk around the park?
xz_007 [3.2K]
0.58x3.25=1.885
c.)1.885 miles
6 0
2 years ago
Please help me it's edgenuity laws of exponents ​
Roman55 [17]

Answer:

a = 10

b = 6

(a,b) = (10,6)

5 0
3 years ago
Read 2 more answers
Other questions:
  • Thomas is saving money for a new mountain bike. The amount (a) Thomas needs to save is more than $50.45. Which inequality models
    10·1 answer
  • Which expression has a value of 15 when 17= 7?
    15·1 answer
  • Work this out for points
    15·1 answer
  • What is the slope of this graph it should fit y=mx+b
    10·1 answer
  • 40.An instrument that is inconsistent in measuring a variable would lack: trustworthiness credibility triangulation reliability
    8·1 answer
  • Surf board: $281.39 Tax Rate: 6% What is the final price of the product after a tax is applied?
    14·1 answer
  • Q1. The speed limit on a road is 40km/h. A scooter drives 9
    10·1 answer
  • 22. It takes Lynn 4 ¾ hours to drive to her grandmother's house. If she has already driven 2 ½ hours, how much longer will it ta
    9·1 answer
  • I NEED HELP ASAP. im on a unit test 20 min.left. what does point B represent on the graph below ​
    14·1 answer
  • 4x - 7 = 3x + 4 = 5x - 9
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!