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
Bottles of mango juice are assumed to contain 275 milliliters of juice. There is some variation from bottle to bottle because th
pentagon [3]

Answer:

Step-by-step explanation:

The mean of the set of data given is

Mean = (275.4 + 276.8 + 273.9 + 275.0 + 275.8 + 275.9 + 276.1)/7 = 275.56

Standard deviation = √(summation(x - mean)^2/n

n = 7

Summation(x - mean)^2 = (275.4 - 275.56)^2 + (276.8 - 275.56)^2 + (273.9 - 275.56)^2 + (275.0 - 275.56)^2 + (275.8 - 275.56)^2 + (275.9 - 275.56)^2 + (276.1 - 275.56)^2 = 5.0972

Standard deviation = √(5.0972/7) = 0.85

We would set up the hypothesis test.

For the null hypothesis,

µ = 275

For the alternative hypothesis,

µ ≠ 275

This is a 2 tailed test.

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 7

Degrees of freedom, df = n - 1 = 7 - 1 = 6

t = (x - µ)/(s/√n)

Where

x = sample mean = 275.56

µ = population mean = 275

s = samples standard deviation = 0.85

t = (275.56 - 275)/(0.85/√7) = 1.74

We would determine the p value using the t test calculator. It becomes

p = 0.132

Because the p-value of 0.132 is greater than the significance level of 0.05, we would fail to reject the null hypothesis. We conclude the data does not provide convincing evidence that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters.

8 0
3 years ago
A bookshelf is 42 inches long. How many books of length 1\frac{1}{2}1 2 1 ​ inches will fit on the bookshelf? Explain your reaso
Blababa [14]

Answer: See explanation

Step-by-step explanation:

Your question isn't well written but I saw an identical question:

A bookshelf is 42 inches long. Each book is 1 1/4 inches wide. How many books will fit on the shelf?

For us to solve this, we would divide the length of the bookshelf by the width of each book. This would be:

= 42 ÷ 1 1/4

= 42 ÷ 5/4

= 42 × 4/5

= 33 3/5

Therefore, the number of books that will fit on the shelf is 33.

7 0
2 years ago
6. What is the 14th partial sum for the arithmetic sequence where a1= 18 and d = 9.4?
Marina86 [1]

Answer:

Step-by-step explanation:

Its about drive its about power we stay hungry we devoure put in the work put in the power and take what's our

3 0
2 years ago
Read 2 more answers
6÷2(1+2)=?
mina [271]
I don't have the answer for the second one, but the answer to number 1 is 9.

6÷2(1 + 2) =

6÷2(3) =

3(3) =

9
5 0
3 years ago
Which expression is equivalent to (3a5 + b4)2
makvit [3.9K]
Is it multiple choice or do you have to write a answer?
8 0
3 years ago
Read 2 more answers
Other questions:
  • Jk,kl, and lj are all tangent to circle o, ja=13,al=7, and ck=10 what is the perimeter of angle JKL
    7·1 answer
  • Evaluate each logarithm. Do not use a calculator. ln ^3 square root e^4
    10·1 answer
  • One man received 15% more than another man when they shared an inheritance of $4,300. How much did each man receive?
    7·1 answer
  • ∠1 and ∠2 are a linear pair. m∠1 = x - 29, and m∠2 = x + 61. Find the measure of each angle.
    6·1 answer
  • Simon is doing a card trick using a standard 52 card deck. He shows his friend a card, replace it, and then shows his other frie
    8·1 answer
  • I'm stuck. Help please.
    8·1 answer
  • Darla spent $120.37 on groceries in January, $108.45 in February, and $114.86 in March. What was the average monthly cost of Dar
    9·1 answer
  • Write the equation of the line in fully simplified slope-intercept form.
    15·2 answers
  • Are there any inputs that cannot be evaluated by the function 6/x-3?
    11·1 answer
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Simplify the following expression: (52)^8
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!