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
Anna35 [415]
3 years ago
11

4√6 •√3 how do I show work for this because the answer is 2√12​

Mathematics
1 answer:
Yuliya22 [10]3 years ago
5 0

Answer:

4 \sqrt{6}  \times  \sqrt{3}  = 12 \sqrt{2}

Step-by-step explanation:

We want to simplify the radical expression:

4 \sqrt{6}  \times  \sqrt{3}

We write √6 as √(2*3).

This implies that:

4 \sqrt{6}  \times  \sqrt{3}  = 4 \sqrt{2 \times 3}   \times  \sqrt{3}

We now split the radical for √(2*3) to get:

4 \sqrt{6}  \times  \sqrt{3}  = 4 \sqrt{2}  \times  \sqrt{3}  \times  \sqrt{3}

We obtain a perfect square at the far right.

4 \sqrt{6}  \times  \sqrt{3}  = 4 \sqrt{2}  \times  (\sqrt{3} )^{2}

This simplifies to

4 \sqrt{6}  \times  \sqrt{3}  = 4 \sqrt{2}  \times 3

This gives us:

4 \sqrt{6}  \times  \sqrt{3}  = 4 \times 3 \sqrt{2}

and finally, we have:

4 \sqrt{6}  \times  \sqrt{3}  = 12 \sqrt{2}

You might be interested in
Please help i am stuck with this problem please help
Masteriza [31]

Answer:

  C

Step-by-step explanation:

The first number on the mechanic's list is the one that is most negative. The negative numbers on the list are ...

  -3/16, -1/4, -1/16

These are easier to compare if they have a common denominator:

  -1/4 = -4/16

So, the numbers are ...

  -3/16, -4/16, -1/16

The one that is most negative is -4/16 = -1/4. Only one answer choice has this listed first. (No further work is necessary.)

8 0
3 years ago
What is the length of AC? PLEASE HELP ME OUT ASAP PLEASE PLEASE;(
Rina8888 [55]

Answer:

To be honest, I think I would ask a professor because I am not a professional.

Step-by-step explanation:

7 0
3 years ago
In the diagram, the measure of angle 3 is 105°
solniwko [45]

Answer:

it's angle 1.

Reason:

vertically opposite angles are equal

5 0
3 years ago
What are the factor pairs of 78?
schepotkina [342]

Answer:

1, 2, 3, 6, 13, 26, 39, and 78

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
josh wants to determine the number of loaves of bread he can bake using the 13 1/3 cups of flour he has
nordsb [41]

Answer:

C 4 loaves

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Ruby is visiting San francisco. From her hotel she walks 1 block east and 3 blocks south to a coffee shop. Then she walks 7 bloc
    8·1 answer
  • Which one<br><br>A.15<br><br><br><br>B.15.7<br><br><br><br>C.31.5<br><br><br><br>D.14.7
    13·1 answer
  • A​ 150-pound person burns 5.1 calories per minute when walking at a speed of 4 miles per hour. While​ walking, this person eats
    11·1 answer
  • Charity has 3 times as long a walk to school as Michele has and the difference between the distances they walk is ½ mile. How fa
    5·1 answer
  • Help please.... 14 points..?
    8·2 answers
  • What is the solution to the division problem below you can use long division or synthetic division 2x^3-2x^2-10x-6/ x-3
    6·2 answers
  • X + 11 &lt; 6 <br> Solve and graph on a number line
    12·1 answer
  • Which expression is NOT equivalent to 2.89 × 0.6?
    6·1 answer
  • If grandma lives in Palm Springs which is 100 miles away. How long does it take to get there if you drive a constant speed of 50
    15·1 answer
  • What is 8 times 8 minus 3 divided by 9. Come join my zo.om meeting.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!