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
horsena [70]
2 years ago
12

Simplify the square root of 40x^4

Mathematics
1 answer:
Otrada [13]2 years ago
6 0

Answer:

4 = 22

Step-by-step explanation:

Factor 40 into its prime factors

          40 = 23 • 5

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

          4 = 22

Factors which will remain inside the root are :

          10 = 2 • 5

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

          2 = 2

At the end of this step the partly simplified SQRT looks like this:

        2 • sqrt (10x4)  

Rules for simplifing variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

     (3.1) sqrt(x8)=x4

    (3.2) sqrt(x-6)=x-3

   (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

     (4.1) sqrt(x5)=x2•sqrt(x)

    (4.2) sqrt(x-7)=x-3•sqrt(x-1)

Applying these rules to our case we find out that

     SQRT(x4) = x2

  sqrt (40x4) =

       2 x2 • sqrt(10)

Simplified Root :

2 x2 • sqrt(10)

You might be interested in
PLEASE HELP! I WILL GIVE BRAINLIEST!<br> A<br> B<br> C<br> D<br> E
I am Lyosha [343]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Write an equation to represent the problem. Then solve the equation. Two years of local Internet service costs $685, including t
iren2701 [21]

Answer:

(Total - Fee) / Months = $Price per Month

(685 - 85) / 24 = 25

Step-by-step explanation:

4 0
3 years ago
What quadratic function f whose only zero is -6
Mrrafil [7]

Answer:

y=(x+6)^2

Step-by-step explanation:

Bc, the root has to be only -6

there fore x=-6

4 0
2 years ago
PLEASE PLEAE PLEASE!!!! HELP ME
taurus [48]

Answer:

My best answer. Hope this helps...

Step-by-step explanation:

You can see 1 full square in the triangle.

There are also 3 half squares.

The top part of the triangle also equals to 1 half square.

On the bottom right side, you have two shapes that add up to a square.

4 half squares = 2 full squares.

2 + 1 + 1 = 4

The square also has 4 squares.

8 0
3 years ago
Against the wind a small plane flew 715 miles in 2 hours and 10 minutes. The return trip took only 1 hour and 50 minutes. What w
ZanzabumX [31]

Answer:

  360 mi/h

Step-by-step explanation:

The speed for the outbound trip was ...

  speed = distance/time = (715 mi)/(2 1/6 h) = 330 mi/h

The inbound speed was ...

  (715 mi)/(1 5/6 h) = 390 mi/h

The airspeed of the plane is the average of these two ground speeds, so is ...

  (330 +390)/2 = 360 . . . . mi/h

8 0
3 years ago
Other questions:
  • Find the domain of the expression: <br><br> the square root of x+8
    15·2 answers
  • Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x?
    11·2 answers
  • What is <br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br> 2/3(3x+9)=−2(2x+6)
    13·1 answer
  • What is the value of x?
    5·2 answers
  • Please answer this correctly
    6·2 answers
  • PLZ HELP I’LL GIVE BRAINLIEST
    7·2 answers
  • What is the sum of the first 10 powers of 2? Assume the first term of the sequence is<br> a1 = 2.
    10·2 answers
  • What is the rule for multiplying and dividing integers
    5·2 answers
  • Please help me get the correct answer
    13·2 answers
  • Ms. Lopez buys 12 packages of socks for her sons. Each package contains 5 pairs of socks. If she gives one son 32 pairs, how muc
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!