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
zhuklara [117]
3 years ago
12

Please simplify this

Mathematics
1 answer:
Alika [10]3 years ago
6 0

Answer:

The answer is 4√3 - 6

Steps

(8√6mn + 6√8mn ) / 2√2mn

<u>Factor out 2√mn from the expression</u>

That's

2√mn × ( 4√6 - 3√8) / 2√2mn

<u>Next reduce the fraction with 2</u>

We have

√mn × ( 4√6 - 3√8) / √2mn

<u>Factor √2 from the denominator</u>

√mn × ( 4√6 - 3√8) / √2(√mn)

<u>√mn will cancel each other </u>

we get

( 4√6 - 3√8) / √2

<u>Simplify the radical </u><u>expression</u>

That's

( 4√6 - 3× 2√2) / √2

= ( 4√6 - 6√2) / √2

<u>Rationalize the surd</u>

We get

( 4√6 - 6√2) / √2 × (√2 / √2)

= ( 4√6 - 6√2) (√2) / (√2)²

= 4√12 - 12 / 2

= (8 √3 - 12) / 2

<u>Factor out 2 from the numerator</u>

That's

2( 4 √ 3 - 6 ) /2

2 will cancel each other

so the final answer will be

4√3 - 6

Hope this helps you

You might be interested in
Given a=3, b=4 and c= -5, Evaluate the following expression
NeTakaya

Answer:

3a (2b-3c)

Step-by-step explanation:

9 (8- - 125)

should equal 1197

3 0
3 years ago
Read 2 more answers
Choose the equations that are not linear equations. - x - y = 2, x^2 + y = 4, x/2 - y^3 = 1, x = 5
tekilochka [14]

Answer:

  • x^2 + y = 4
  • x/2 - y^3 = 1

Step-by-step explanation:

Any equation with a product of variables, or with a variable in an exponent or denominator, is <em>not a linear equation</em>. Here, "product of variables" includes powers and roots—any expression with an exponent other than 1, or a total of exponents other than 1.

7 0
3 years ago
What is the middle term of the product of (x - 4)(x - 3)?
irga5000 [103]
(x-4)(x-3) so what you do is
 
     x         -4
 x   x^2      -4x

-3 -3x        12

x^2-7x+12
your answer would be -7x
4 0
3 years ago
Read 2 more answers
I can type 19 words in 38 seconds. How many can I type in 60 seconds?
mel-nik [20]
Hi!

We can solve this by setting up a proportion

\frac{19}{38}  \frac{x}{60}

Solve for x by cross multiplying.

19 x 60 = 1140
1140/38 = 30

You can type 30 words in 60 seconds

Hope this helps! :)
6 0
3 years ago
Read 2 more answers
If f(x)= 4^-8 and g(x)= 5x+6, find (f-g)(x)
Sveta_85 [38]

f(x)=4^x-8,\ g(x)=5x+6\\\\(f-g)(x)=f(x)-g(x)=(4^x-8)-(5x+6)=4^x-8-5x-6=4^x-5x-14

5 0
3 years ago
Other questions:
  • Gcf of 56, 42 and 98
    11·1 answer
  • Which is greater 0.7 or 3/4
    14·2 answers
  • Claire takes private lacrosse lessons every 6 days and piano lessons every 4 days. In how many days will she have both piano and
    11·1 answer
  • the mearsure of a triangle are in the ratio 2:3:4 in degrees what is the largest angle in the triangle​
    9·1 answer
  • Janelle has 342 pennies, 62 nickels, and 12 dimes. If Janelle exchanges her coims for dollars, how many dollars will she have? H
    8·2 answers
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
    13·1 answer
  • What is the value of arccos(−1/2)in radians?<br><br> a) 2pi/3<br> b)pi/3<br> c)pi/6<br> d)5pi/6
    10·1 answer
  • Drag the tiles to the correct boxes to complete the pairs.
    12·1 answer
  • If f(x) = 4x-3, which of the following is the inverse of f(x)?
    8·1 answer
  • Solve the following literal equation for r in
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!