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
AleksandrR [38]
3 years ago
12

What is the simplified form of the following expression? 5sqrt 8-sqrt18-2sqrt2

Mathematics
2 answers:
spayn [35]3 years ago
7 0

Answer:

5 sqrt2.

Step-by-step explanation:

sqrt8 = sqrt4 * sqrt2 = 2 sqrt2

sqrt18 = sqrt9 * sqrt2 = 3 sqrt2

So simplifying:

5sqrt 8 - sqrt18 - 2 sqrt2

= 5*2sqrt2 - 3 sqrt 2 - 2 sqrt2

= 10 sqrt2 - 5 sqrt2

= 5 sqrt2 (answer).

Y_Kistochka [10]3 years ago
5 0

For this case we must simplify the following expression:

5 \sqrt {8} - \sqrt {18} -2 \sqrt {2}

Rewriting we have:

8 = 2 * 2 * 2 = 2 ^ 2 * 2\\18 = 9 * 2 = 3 ^ 2 * 2\\5 \sqrt {2 ^ 2 * 2} - \sqrt {3 ^ 2 * 2} -2 \sqrt {2} =

We have that by definition of properties of roots and powers it is fulfilled:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

So:

5 * 2 \sqrt {2} -3 \sqrt {2} -2 \sqrt {2} =\\10 \sqrt {2} -3 \sqrt {2} -2 \sqrt {2} =\\10 \sqrt {2} -5 \sqrt {2} =\\5 \sqrt {2}

Answer:

5 \sqrt {2}

You might be interested in
NEED HELP PLEASE!
USPshnik [31]

Answer:

(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16

Step-by-step explanation:

Complex numbers identity:

The complex numbers identity is:

i^2 = -1

Square of the sum:

(x + y)^2 = x^2 + 2xy + y^2

In this question:

(x + (3+5i))^2

x^2 + 2x(3+5i) + (3+5i)^2

x^2 + 6x + 10xi + 9 + 30i + 25i^2

x^2 + 6x + 9 + (10x+30)i - 25

x^2 + 6x + (10x+30)i - 16

So

(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16

5 0
2 years ago
Unit 8 triangles and trigonometry quiz 8-2 please help me with all
Sedbober [7]

Answer:

i think 6

Step-by-step explanation:

hope this helps

5 0
3 years ago
How to solve this problem?<br> -3 d +7 &gt; 25
sp2606 [1]
Answer to your question:

D = d < -6
8 0
3 years ago
Read 2 more answers
In a trivia competition, Shannon's score was up to 900 points. Then she scored -400 points in
AnnyKZ [126]

Answer:

Step-by-step explanation:

Her score after the two competitions was 500

hope this answer helps you

5 0
3 years ago
Read 2 more answers
A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the p
Reptile [31]
The probability for each die is 1/6 
so you multiply 1/6 by 1/6
to get 1/36 so the probability of getting any given event is
1/36
3 0
3 years ago
Other questions:
  • Prove that sinΘcosΘ=cotΘ is not a trigonometric identity by producing a counterexample.
    13·1 answer
  • help me... the angle pairs.. for example linear pair, vertical angles... that stuff.... I said that because last time I asked th
    12·1 answer
  • Which quantities are NOT constant in uniform circular motion? Select all that apply.. . Answer 1. Angular Velocity. 2. Angular p
    9·1 answer
  • Hank drove 1200 miles per hour in 12.5 hours. What is his average speed in miles per hour
    8·1 answer
  • Round off 600341 to the nearest a) tens b) hundreds c) thousands​
    14·1 answer
  • there are 176 slices of bread in 8 loaves.if there are the same number of slices in each loaf,how many slices of bread are in 5
    5·2 answers
  • Please help I’m struggling badly
    9·1 answer
  • Please help me find the value of x
    13·1 answer
  • Point T is at (-3, 8). What are the coordinates of T' after R(y-axis) o R(x-axis)?
    6·1 answer
  • To stitch a pant 1 m 40 cm cloth is needed. Out of 35 m cloth, how many pants
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!