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
mrs_skeptik [129]
3 years ago
12

Which of the following is equivalent to the expression below sqrt 8 - sqrt 72 + sqrt 50

Mathematics
2 answers:
mash [69]3 years ago
6 0

Answer:

Step-by-step explanation:

\sqrt{8}-\sqrt{72}+\sqrt{50} These cannot combine the way they are. The rule for adding and subtracting radicals is really picky. Not only does the index have to be the same (the little number that is sitting outside in the bend of the radical {ours is a 2, which isn't usually there, but is instead understood to be a square root}), but the radicand, the expression under the square root (or cubed root, or fourth root, etc) has to the same as well. All of our radicals are square roots, so that's good, but the radicands are all different. The first one is an 8, the next one is a 72, and the last one is a 50. BUT if we can rewrite them by simplifying them and then the radicands are the same, we're in good shape.

Simplify by taking the prime factorization of each of those numbers.

8: 4*2 and 4 is a perfect square, so we'll stop there

72: 36*2 and 36 is a perfect square, so we'll stop there

50: 25*2 and 25 is a perfect square, so we'll stop there.

Now, rewrite each one of them in terms of their prime factorization:

\sqrt{4*2}-\sqrt{36*2}+\sqrt{25*2} and then pull out each perfect square as its root:

2\sqrt{2}-6\sqrt{2}+5\sqrt{2} and now all the radicands are the same, so we can add them to get

1\sqrt{2}  or simply  \sqrt{2}

JulsSmile [24]3 years ago
3 0

Answer:

A: \sqrt{2}

Step-by-step explanation:

sqrt 8 = sqrt (2 * 2 *2 ) = 2\sqrt{2}

sqrt 72 = sqrt (2 * 2 *2 * 3 * 3 ) = 6\sqrt{2}

sqrt 50= sqrt (2 * 5 *5 ) = 5\sqrt{2}

You might be interested in
Please help quickly <br><br>Write a scenario to go with this equation. 5x - 2 = 28. ​
Mama L [17]

Answer:

Evelyn brought "x" apples for 5 dollars each. Then she has a discount for 2 dollars. The final total is 28. If "x" equals the number of apples, how many apples did she buy?

8 0
3 years ago
Hii. can you answer pt b? thxx
kiruha [24]

There would be little to no change, due to the fact of there being little change anyway looking at the current plots, and table.

cul stuff

7 0
3 years ago
Read 2 more answers
Which of the following options is a reflection of the letter k
Novosadov [1.4K]

Whers the picture my guy?

8 0
3 years ago
Can someone please give me an equation in slope-intercept form for this graph?
Scilla [17]

Answer:

substitute y = mx +b = (2/3)x -2

Step-by-step explanation:

slope intercert form looks like this

y = mx + b

m is the slope

b is the y intercept

The line intercepts the y at -2

To find slope, pick 2 points to find the slope

m = (y2 - y1)/(x2-x1)

i select point 1 (0,-2) and point 2 (3,0)

m = (0-(-2))/(3-0) = (2)/3

substitute y = mx +b = (2/3)x -2

4 0
3 years ago
Solve for X. Plz I can't figure it outtt!
WINSTONCH [101]

9514 1404 393

Answer:

  x = 40

Step-by-step explanation:

The angle bisector divides corresponding sides proportionally.

  x/16 = 25/10

  x = 16(25/10) . . . . . multiply by 16

  x = 40

7 0
3 years ago
Other questions:
  • Order the group of quadratic functions from widest to narrowest graph. y = 6x2, y = −4.5x2, y = −x2
    12·2 answers
  • <img src="https://tex.z-dn.net/?f=5x%20%2B%201%20%5Cleqslant%204" id="TexFormula1" title="5x + 1 \leqslant 4" alt="5x + 1 \leqsl
    14·1 answer
  • What is three sixth of 72
    13·2 answers
  • Mary has 32 geraniums and she wants to plant the same number in each pot. if she has 8 pots , how many geraniums should she put
    14·2 answers
  • 5x+3x=5x+15/2 what value 3x make the equation true
    5·2 answers
  • The length of a picture frame is 6 inches more than the width . For what values of x is the perimeter of the picture frame great
    11·1 answer
  • If the velocity ratio of a machine is 1.5what will be its ​
    13·1 answer
  • Graph the inequality x-2y&gt;4
    9·1 answer
  • Help pls giving brainliest
    9·1 answer
  • 3. Let Angle ABC be an isosceles triangle with AB = AC. Which of the following describes
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!