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
Svetllana [295]
3 years ago
6

Find the square root of the following by prime factorization method.

Mathematics
2 answers:
weeeeeb [17]3 years ago
8 0

Answer:

\boxed{=65}\\

Step-by-step explanation:

\begin{array} {c|c}4225&5\\845&5\\169&13\\13&13\\1\\\end{array}\\\\\\4225=5^2*13^2\\\\\sqrt{4225} \\\\=5^{\frac{2}{2} }*13^{\frac{2}{2} }\\\\=5*13\\\\\boxed{=65}\\

Yanka [14]3 years ago
3 0
4225=5×5×13×13
4225=(5×13)×(5×13)
4225=65×65
4225=65²
√4225=65

Hope my answer helped u :)
You might be interested in
Detailed explanation would be appreciated
valina [46]
So the bus is initially going at 39km/hr but we want it in minutes, so divide by 60 to get that the bus goes .65 km/min. It does this for 20 minutes so multiply .65 by 20 and it has gone 13km in the first 20 minutes. It then goes 12km/hr, again divide by 60 to get .2km/min, it goes this fast for 10 minutes so it goes 2km in 10 minutes. At this point the bus has gone 15km, we know that his house is 30km away from the school so this tells us the bus will go 30km/hr (.5km/min) for 15km, taking it 30 minutes. It takes the bus one hour to get home.
His mom travels at a constant speed of 45km/hr (0.75km/min) the whole 30km to her home. Take the 30km and divide it by 0.75 to find that it took her 40 minutes to drive home BUT she didn't leave the school until 30min after the bus left, so her total time is 1hr10min.
She will not get home in time, she will be 10min late  

6 0
3 years ago
What is m∠DBC if m∠DBA = 85°?<br><br> A. 23°<br> B. 20°<br> C. 31°<br> D. 147°
nadya68 [22]
A. 23°
because 85°-62°=23°

*Hope this helped! :)
5 0
3 years ago
Which represents the inverse of the function f(x) = 4x?
wel
The inverse of the funtion <span> f(x) = 4x

</span><span> f(x) = 4x
y = 4x
Swap out x with y
x = 4y
x / 4 = y
y = x / 4
f(x)^{-1} = \frac{x}{4}

Looks like none of the answer you have given are correct. 

</span>
5 0
4 years ago
Help, I have to turn this in tomorrow ... is this correct??
Natali5045456 [20]

Answer: I think so that's what i would put

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?
nirvana33 [79]

Answer:

Each pencil costs $0.07 and each eraser costs $0.03

Step-by-step explanation:

System of linear equations

It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.  

Let p=the price of each pencil while e is the price each eraser

Julio bought 4 pencils and 3 erasers, spending

4p+3e=0.37

David bought 3 pencils and 4 erasers, spending

3p+4e=0.33

The system of equations is written in the form

\left\{\begin{matrix}4p+3e=0.37\\ 3p+4e=0.33\end{matrix}\right

We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:

\left\{\begin{matrix}-12p-9e=-1.11\\ 12p+16e=1.32\end{matrix}\right.

Adding both equations:

7e=0.21  

e=0.03

Multiplying the first one by -4 and the second by 3

\left\{\begin{matrix}-16p-12e=-1.48\\ 9p+12e=0.99\end{matrix}\right.\end{matrix}\right.

Adding both equations:

-7p=-0.49

p=0.07  

Solution: Each pencil costs $0.07 and each eraser costs $0.03

7 0
3 years ago
Other questions:
  • Brent knows that the 6-digit number he uses to open his computer is the prime factorization of 5005.if each digit of the code in
    5·1 answer
  • jamie,sara,jasmine and guadalupe had 144 justin beiber stickers altogether. if they split them equally, how many stickers would
    12·2 answers
  • Point P is located at (6, –5). P is reflected across the y-axis to create P'. What quadrant is P' in? A. I B. II C. III D. IV Pl
    11·2 answers
  • The probability of a machine being accidentally overfilled on a given day is 0.05. If the machine is overfilled there is a 0.8 p
    8·1 answer
  • Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie. Choose the cost functio
    7·1 answer
  • If a person invests $220 at 7% annual interest, find the approximate value of the investment at the end of 10 years.
    13·2 answers
  • A quadratic function g(x) passes through the points (-8, 33), (2, 1), and (8, 1).
    5·1 answer
  • Please help me answer question b
    14·1 answer
  • I need help fast plz<br>​
    6·1 answer
  • Tasha purchased an ipad for $625. a year later, it was selling for $500. what was the percent of change?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!