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
Today is sunday. Tom starts to read a book with 490 pages today. Sundays he reads 25 pages and on all other days he reads 4 page
mrs_skeptik [129]

Based on the information given, it can be noted that Tom will use 117 days to read the book.

How to solve a equation.

Based on the information given, we are informed that Tom starts to read a book with 490 pages today. Sundays he reads 25 pages and on all other days he reads 4 pages.

Let the number of days be represented by x. Therefore, the equation to solve the question will be:

25 + (4 × x) = 490

25 + 4x = 490

4x = 490 - 25

4x = 465

x = 465/4

x = 116.25

x = 117

Therefore, he'll use 117 days to read the book.

Learn more about equations on:

brainly.com/question/13763238

6 0
3 years ago
Sam divided A rectangle into 8 congruent rectangles that each have the area shown. what is tge area of tge rectangle befoe sam d
aniked [119]

No area is shown. So befoe sam divided it,
the area of tge original rectangle was . . .

     8 x 0  =  zero .


3 0
3 years ago
Can some please answer these for me!!? ​
aivan3 [116]

Answer:

- Right Angle Triangle – A Right triangle is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry (opposite, hypotenuse, adjacent).

- Obtuse Triangle – An obtuse triangle is a triangle with one obtuse angle (greater than 90°) and two acute angles.

- Acute Triangle – An acute triangle is a triangle with three acute angles (less than 90°).  

12 - Right Angle Triangle

13 - Obtuse Triangle

14 - Acute Triangle

15 - Acute Triangle

16 - Right Angle Triangle

17 - Obtuse Triangle

3 0
3 years ago
5x + 10 &gt; 35<br> How do you work this out?
Alexxx [7]

Answer:

x > 5

Step-by -step explanation:

Solving inequalities is similar to solving equations.

5x + 10 > 35

Subtract 10 from both sides.

5x > 25

Divide by 5 from both sides to isolate the x.

x > 5

3 0
3 years ago
Read 2 more answers
Ms.Lawrence had 550 in her bank account. The next day she withdrew 120 to buy groceries. She deposited 200 two days later. Fout
hjlf

Answer:

541

Step-by-step explanation:

550-120+200-89=541

7 0
3 years ago
Other questions:
  • The length of one side of a square city block is 462 meters. what is the perimeter of the block
    8·1 answer
  • Sydney is going to a carnival that has games and rides
    6·2 answers
  • You were informed at the nursery that your peach tree will definitely bloom sometime between march 18 and march 30. assume that
    10·1 answer
  • 5(F + 4) = 4(f – 6) I REALLY NEED HELP!! please help asap and help me solve it step by stel
    6·1 answer
  • In a survey 9/25 students ride the bus and 19/50 walk to school. What fraction of students ride the bus or walk?
    12·2 answers
  • Find the number of meters each record holder ran in one second of 200 meters, 19.30 seconds
    11·1 answer
  • What is 5 divide by 312
    10·1 answer
  • -5(1 - r) - 2<br> Find r
    7·1 answer
  • in an ap,the first term of an arithmetic series is 5,the last term is 45 and the sum is 400. find the number of terms and common
    9·2 answers
  • Find the time difference between 6:40 am and 10:05 am
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!