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
mr_godi [17]
3 years ago
9

10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x

Mathematics
1 answer:
ddd [48]3 years ago
4 0
Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}

\bf \cfrac{4\sqrt{28350x}}{189x}\qquad 
\begin{cases}
28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\
\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\
\qquad 2\cdot (45)^2\cdot 7\\
\qquad 14\cdot 45^2
\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}
\\\\\\
\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}
You might be interested in
Expand using binomial theorem
kari74 [83]
The answer is -1
Hope this helps!
5 0
2 years ago
What is the reason for the fourth and eighth steps in the proof?
spin [16.1K]
The question containing the steps is missing.
5 0
3 years ago
Hardy was given the scale drawing of the enlargement to Analyze Hardy's work to determine if he is correct. If he
irakobra [83]

Answer:

the correct answer is  NO. hardy should have multiplied by the scale factor to find the missing length.

Step-by-step explanation:

dont got one hehehe

8 0
3 years ago
Read 2 more answers
Need Help with this question
Fantom [35]
82
The sum of the three angles is 180. One is given and the other we can figure out because it forms a straight line (180) with the angle to the left outside. The outside angle is 117, so 180-117 is 63.
So then add up the 3 angles in the triangle
63+35+y=180
y= 82
3 0
2 years ago
Priya has a recipe for banana bread. She uses 7 1/2 cups of flour to make 3 loaves of
Umnica [9.8K]

Answer:

2 1/2 cups of flour

Step-by-step explanation:

Priya is making 3 loaves of bread, so she will use 7 1/2 cups of flour.

Andre is making 1 loaf of bread, which is 1/3 the amount of loaves Priya is making. So, he will be using 1/3 the amount of flour Priya is using. So all we have to do is take 7 1/2 and divide it by 3:

7.5/3 = 2.5

Andre will use 2 1/2 cups of flour.

4 0
2 years ago
Other questions:
  • The absolute value of a number can be positive or negative.
    9·1 answer
  • Question 1 (5 points)
    9·1 answer
  • Find the simple interest earned on $2600 invested for 3 years at 12% per annum​
    14·2 answers
  • A square piece of fabric has sides length 3.7 cm what’s the area?
    12·1 answer
  • Evaluate 4(3 - 1)2<br> ОА. 32<br> Ов. 64<br> Ос. 16<br> Op. 128
    9·2 answers
  • 16 squared with explanation.
    11·2 answers
  • Which graph can be used to find the solution for the equation 4x + 2 = x + 3? A) A B) B C) C D) D
    14·2 answers
  • 4. Ten less than the product of six and eight less than a number
    15·1 answer
  • Is (-7,2) a point on the line?​
    7·1 answer
  • Which graph represents a function? please help
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!