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
Eddi Din [679]
3 years ago
12

What is the following product?

Mathematics
1 answer:
KiRa [710]3 years ago
5 0

ANSWER

2 \sqrt{42} +7  \sqrt{2}- 6- \sqrt{21}

EXPLANATION

The given product is:

( \sqrt{14}  -  \sqrt{3} )( \sqrt{12} +  \sqrt{7}  )

We expand using the distributive property to obtain:

\sqrt{14}( \sqrt{12} +  \sqrt{7}) -\sqrt{3}( \sqrt{12} +  \sqrt{7}  )

Extract the perfect squares to get:

\sqrt{14}(2 \sqrt{3} +  \sqrt{7}) -\sqrt{3}( 2\sqrt{3} +  \sqrt{7}  )

Expand further to get;

2 \sqrt{42} +7  \sqrt{2}- 2(3)   - \sqrt{21}

This simplifies to,

2 \sqrt{42} +7  \sqrt{2}- 6- \sqrt{21}

You might be interested in
in the equation 6x – 2 = –4x + 2, Spencer claims that the first step is to add 4x to both sides. Jeremiah claims that the first
trapecia [35]
Spencer would be the correct one because it's easier to keep your variables positive when trying to solve. Therefore, in order to keep the variable positive, one would have to add 4x to both sides.
4 0
3 years ago
Read 2 more answers
A group of students formed a circle during a game. The circumference of the circle was about 43.96 feet, and the diameter of the
lara31 [8.8K]

Answer:

pi = pi

Step-by-step explanation:

Circumference = 2 * pi * r

Equation you need:

43.96 = 2 * pi * 7

43.96 = 2 * 7 * pi

43.96 / 14 = pi

pi = 3.14

5 0
3 years ago
Solve k−7≤0. Graph the solution
leonid [27]

Answer:

k ≤ 7

Step-by-step explanation:

3 0
2 years ago
A recipe uses 5/8 cups of vegetable oil and 2 cups of water. Write the ratio of vegtable oil to water. THEN find the value of th
denis23 [38]

Answer:

5/8 : 2

Step-by-step explanation:

3 0
3 years ago
Plz help asap for brainiest
Sergio [31]

Answer: x = 16

Step-by-step explanation:

If RQ is the bisector, that means the angle is cut in half. Therefore angles PRQ and QRS are equal to each other.

4x+6 = 7x-42

subtract 7x from both sides

-3x+6 = -42

subtract 6 from both sides

-3x = -48

divide both sides by -3

x = 16

7 0
2 years ago
Read 2 more answers
Other questions:
  • an office space in new-york city measures 48 by 56. if it sells for 565 per square foot, what is the total cost of the office sp
    15·1 answer
  • Round 1928.956 to the nearest TENS ( no commas)
    14·1 answer
  • The resulting R'ST' is an example of what kind of transformation?
    12·1 answer
  • Five friends want to rent a go-cart track that costs $100. Each friend intends to contribute the same about.
    13·1 answer
  • Find the length of side x in simplest radical form with a rational denominator.
    7·1 answer
  • Please help and thank you
    13·1 answer
  • what is the solution to the system of equations? y = –5x 3 y = 1 a). (0.4, 1) b). (0.8, 1) c). (1, 0.4) d). (1, 0.8)
    8·2 answers
  • Pwease help ..........................................
    11·2 answers
  • I need to find the measure of 3.
    15·1 answer
  • . An arch has the shape of a semi-ellipse. The arch
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!