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
Hoochie [10]
3 years ago
13

What is the square root

Mathematics
1 answer:
shusha [124]3 years ago
4 0

Answer:

Step-by-step explanation:

Trying to factor as a Difference of Squares :

1.1      Factoring:  r2-96

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 96 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step  1  :

 r2 - 96  = 0

Step  2  :

Solving a Single Variable Equation :

2.1      Solve  :    r2-96 = 0

Add  96  to both sides of the equation :

                     r2 = 96

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     r  =  ± √ 96  

Can  √ 96 be simplified ?

Yes!   The prime factorization of  96   is

  2•2•2•2•2•3

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 96   =  √ 2•2•2•2•2•3   =2•2•√ 6   =

               ±  4 • √ 6

The equation has two real solutions  

These solutions are  r = 4 • ± √6 = ± 9.7980  

Two solutions were found :

                  r = 4 • ± √6 = ± 9.7980

Processing ends successfully

You might be interested in
2x+3y=15 x+y=6 find values for x and y
MatroZZZ [7]

Answer:

  (x, y) = (3, 3)

Step-by-step explanation:

Subtract double the second equation from the first.

  (2x +3y) -2(x +y) = (15) -2(6)

  y = 3 . . . . . . . . simplify

Use the second equation to find x.

  x = 6 -y = 6 -3 = 3

The values of x and y are both 3.

8 0
2 years ago
Solve for x xx: 7 x + 4 9 ∘ 7x+49 ​∘ ​​ 2 x + 9 4 ∘ 2x+94 ​∘ ​​
Murrr4er [49]
The value for x is 9 because:

7x +49 = 2x + 94
7x-2x=45
5x=45
x=45/5
x=9
6 0
3 years ago
The sum of 22 and n is equal to 45.13
Ber [7]

Answer:

23.13

Step-by-step explanation:

6 0
3 years ago
On the map the distance between two towns is 10.5 centimeters. If 3 centimeters represents 90 miles what is the actual distance
Ainat [17]

Answer:

315 miles

Step-by-step explanation:

90 times 3 plus 45

3 0
3 years ago
Read 2 more answers
Each batch of ms.crawley's cookies makes 14 cookies. if sandy needs 8 dozen cookies for her bake s how many batches does she hav
erica [24]
7 batches. There is 12 cookies in a dozen so multiply 8×12 to get 96 cookies. 96 Is the total cookies you need to make. So if you divide 96 by the 14 to see how many batches you must make. you will get a number of 6.85... so you must round up to 7.
4 0
2 years ago
Other questions:
  • 4(x-y)^2-12(x-y)(x+y)+9(x+y)^2 ​
    15·2 answers
  • What is the GCF of 28 and 40
    5·1 answer
  • 30 Points! please help!
    11·1 answer
  • Photo and Video Sharing. Photos and videos have become an important part of the online social experience, with more than half of
    15·1 answer
  • What is the measure of o
    11·1 answer
  • 2x-15/x+9<br> Would be unidentified
    10·1 answer
  • Jacqueline will spend a fair spinner with the numbers 0 1 2 3 and 4 a total of three times if event a spinner lands on numbers a
    12·1 answer
  • How many tenths and how many hundreds are represented in 65/100?
    10·1 answer
  • What is the difference?
    7·1 answer
  • Ill mark brainlist plss help
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!