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
zmey [24]
3 years ago
6

Simplify square root of -40

Mathematics
2 answers:
faltersainse [42]3 years ago
5 0

if you know complex numbers:


sqrt (-40)

sqrt(-1) * sqrt(40)

sqrt(-1) * sqrt(4) * sqrt(10)

i * 2 * sqrt(10)

2i *sqrt(10)


If you do not know complex numbers:

it cannot be simplified because it is negative

no real solution

s2008m [1.1K]3 years ago
5 0

Answer: 2<em>i</em> \sqrt{10}

Step-by-step explanation: To simplify the square root of -40, think of the square root of -40 as the square root of -1 × the square root of 40.

The square root of -1 can be represented by the imaginary number <em>i</em>. So we have <em>i</em> × the square root of 40 or <em>i</em> \sqrt{40}.

Next, root 40 breaks down breaks down to 2 root 10. We can see this by setting up a factor tree for 40. 40 is 2 x 20, 20 is 2 x 10, and 10 is 2 x 5. We have a pair of 2's in our factor tree and we have 2 x 5 at the bottom.

So we have <em>i</em> x 2 root 10 or 2<em>i</em> \sqrt{10}.

You might be interested in
There are two buildings that you want to have in the amusement park, but the size hasn’t been determined yet. Although you don’t
Harrizon [31]
A) The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. You know the length of the gift shop, l = 20x + 24. You know the width, w = 36x - 20. Plug those expressions into the equation for area of a rectangle and multiply/foil:
A = lw\\&#10;A = (20x + 24)(36x - 20)\\&#10;A = (20x)(36x) + (20x)(-20) +  (24)(36x) + (24)(-20)\\&#10;A = 720x^{2} - 400x + 864x - 480\\&#10;A = 720x^{2} + 464x - 480

The expression for the area of the gift shop is 720x^{2} + 464x - 480.

B) The equation for the perimeter of the gift shop is P = 2(l+w), where l = length and w = width. Plug your values for l and w into this equation:
P = 2(l+w)\\&#10;P = 2(20x + 24 + 36x - 20)\\&#10;P = 2(56x + 4) = 2(56x) + 2(4)\\&#10;P = 112x + 8

The expression for the perimeter of the gift shop is 112x + 8

C) Since you know the perimeter is going to be 176 ft, that means P = 176. Plug that into the equation you found in part B, P = 112x + 8, and solve for x.
P = 112x + 8\\&#10;176 = 112x + 8\\&#10;112x =  168&#10;x = 1.5

Once you solve for x, you can plug x into your equations for width and length to find the dimensions. x = 1.5, so:
1) L<span>ength = 20x+24 feet 
</span>Length = 20(1.5) + 24 feet = 54 feet
2) Width = <span>36x-20 feet
Width = 36(1.5)-20 feet = 34 feet

Your dimensions are 54 feet (length) by 34 feet (width).
</span>
3 0
3 years ago
What is the value of 7 in 506,087
solong [7]
The value of 7 in that number is 7 because the 7 is in the ones place
7 0
3 years ago
Read 2 more answers
What is 14 feet in inches
Finger [1]
14 feet is 168 inches. To get this, I knew that there were 12 inches in one foot. If there are 14 feet, you will have to multiply 14 by 12. The answer, therefore, is 168 inches!

I hoped this helped you!
6 0
3 years ago
Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only)
Kamila [148]
63.87 degrees I think I half guessed
7 0
3 years ago
Read 2 more answers
7 divided by 0.623 no need to explain thx
barxatty [35]

Answer:

11.235955

Step-by-step explanation:

7÷0.623

11.235955

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the relationship between x and y
    7·1 answer
  • Which represents the solution(s) of the equation x^2= 289
    9·2 answers
  • A ball is shot straight up into the air from the ground with initial velocity of 45ft/sec. Assuming that the air resistance can
    9·1 answer
  • 4,444,444 the digit in the hundreds thousands place is 10 times the value of the digit in the ten thousands place?
    6·1 answer
  • If a fair coin is tossed 4 times, there are 16 possible sequences of heads (H) and tails (T). Supposethe random variable X repre
    15·1 answer
  • Mr.Jackson is saving money to go on a trip. Last month,he saved $21 dolloars each week for 4 weeks. This month he saved 3 times
    13·1 answer
  • I need the answer for all but the last one.
    9·2 answers
  • Round 62.475 to the nearest hundredth.
    10·2 answers
  • HELP ASAP
    8·1 answer
  • Draw the graph for f(x)=x-1/x^2-x-6 and state:a. the x-intercept(s).b. the y-intercept.c. the equation(s) of any vertical asympt
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!