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
Bingel [31]
3 years ago
13

How can you write the expression with rationalized denominator? 2+sqrt3(3)/sqrt3(6)

Mathematics
1 answer:
joja [24]3 years ago
8 0
So we have a 6 at the bottom, and the root is 3, so hmm how to take it out, simple enough, just let's get something to make the 6 a 6³, so it comes out of the root

so 

\bf \cfrac{2+\sqrt[3]{3}}{\sqrt[3]{6}}\cdot \cfrac{\sqrt[3]{6^2}}{\sqrt[3]{6^2}}\implies \cfrac{(2+\sqrt[3]{3})(\sqrt[3]{6^2})}{(\sqrt[3]{6})(\sqrt[3]{6^2})}\implies \cfrac{2\sqrt[3]{36}+\sqrt[3]{3}\cdot \sqrt[3]{36}}{\sqrt[3]{6^3}}
\\\\\\
\cfrac{2\sqrt[3]{36}+\sqrt[3]{3\cdot 36}}{6}\implies \cfrac{2\sqrt[3]{36}+\sqrt[3]{108}}{6}\implies \cfrac{2\sqrt[3]{36}+\sqrt[3]{3^3\cdot 4}}{6}
\\\\\\
\cfrac{2\sqrt[3]{36}+3\sqrt[3]{ 4}}{6}
You might be interested in
Which number is rational?<br> square root 2<br> 3.4<br> square root 10<br> square root 16
IRINA_888 [86]

Answer:

3.4

Step-by-step explanation:

3.4 is able to be converted into a fraction so it is rational.

3 0
3 years ago
Teachers drive a mini-van. what percentage of the teachers drive a mini-van? (6.5B*) There are 60 teachers at Smith Middle Schoo
tekilochka [14]
20 o/o fndjdndbbbbbndndn
5 0
3 years ago
Please solve this for me
olga_2 [115]
15/5 is 3

So then you change the equation to be 12=15z-3 ( don’t forgot the negative sign)

Move the constant to the right side and change the sign

-15z= -3 -12

-3-12 is -15

Divide -15z= -15

Your final answer will be z= 1
5 0
3 years ago
Prove the quotient rule. hint: you can do this directly, but it may be easier to find the derivative of 1/x and then use the cha
Bess [88]
The quotient rule is
d(u/v) = (u dv - v du) / u2

d(u/v) can written as
d( u (1/v) )

Using the product rule and chain rule
d( u (1/v)) = u d(1/v) + (1/v) du
= u (-1/v2) dv + (!/v) du
= (u dv - v du) / u2
5 0
3 years ago
How do you write 20% as a decimal
77julia77 [94]

Answer:

0.2

Step-by-step explanation:

20/100=0.2


3 0
3 years ago
Read 2 more answers
Other questions:
  • Anna gets $10 dollars everyday but on sunday on sunday she gets $17 dollars she wants to buy a dress that is 2,000 dollars if sh
    7·1 answer
  • A store sells a box of high liters that contains 4 yellow, 3 blue, 2 pink, and 1 green high liter. What is the probability of ra
    12·1 answer
  • Please answer this thank you really appreciate it
    5·1 answer
  • Solve x/-3= -15.<br> 45<br> -45<br> 5<br> -5
    10·2 answers
  • Find the magnitude of the vector from the origin to (8,- 6) and write the vector as the sum of unit vectors.
    11·2 answers
  • Robin has $450 to spend on home repairs. The repairman charges $65 for the initial visit and $37.50 per hour or part of an hour.
    14·1 answer
  • PLEASE HELP PLEASE 3. Which rule best describes this transformation?
    12·1 answer
  • For an employee training, the employee to instructor ratio is 24 to 2. If there are 39 instructors for the training, how many em
    9·1 answer
  • In this unit, you worked with geometric proofs. A proof is a logical sequence of justified conclusions that lead from a hypothes
    7·1 answer
  • G(x)=−3x−8<br><br> g( )=10<br><br> what's in the parenthesis
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!