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
Consider f(x) = mx + b where m and b are both non-zero constants. The function g(x) is the inverse of f(x). Which of the followi
vivado [14]

Answer:

2x-54n

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Explore the area of sectors of circles by following these steps.
Nezavi [6.7K]

Answer: 9pi

Step-by-step explanation:

8 0
3 years ago
Select the correct answer
bulgar [2K]
The answer is b bc it’s all real numbers since it won’t stop
3 0
3 years ago
Travis performs a dilation of 1/3 on a polygon. He then classifies the image and pre-image as being congruent. Is Travis correct
krok68 [10]
To polygons are <span>congruent when </span>their corresponding sides are equal in length and their corresponding angles are equal in measure.
so he's not true
3 0
3 years ago
Helpppppp mehhhhh (^0^)
Norma-Jean [14]
1. Ten
2. Hundred
Hope this helps
3 0
3 years ago
Other questions:
  • Parallel lines in space are coplanar.<br> a. always<br> b. sometimes<br> c. never
    13·1 answer
  • Draw the lewis structure for so2. how many single bonds, double bonds, triple bonds, and unshared pairs of electrons are on the
    13·1 answer
  • What is m&lt;2? and what ism&lt;4
    14·2 answers
  • Suppose h(t) = -7t² - 6t-18 models the height (in feet) of a person jumping off a cliff into a river while on vacation, as a fun
    12·1 answer
  • Pls Help meh!! I have more Questions based on math coming up in a few seconds Juss pls give meh the best answer
    14·2 answers
  • Analyze the diagram below and complete the instructions that follow.
    9·1 answer
  • How much interest will you earn in 1 year on a $8000 deposit at 2.5%?<br><br> NEED HELP!!
    6·2 answers
  • the home plate in baseball which is a Pentagon has three right angle. the other two angles are equal. find the measure of each m
    6·1 answer
  • Sum of n natural numbers is 5n^2 + 4n , find the 8th term​
    9·2 answers
  • I badly want the answer to these☠️​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!