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
Dennis_Churaev [7]
3 years ago
13

By what least number should 4851 be divided to get a perfect square number ? Also find the square root of the square number so o

btained ?​
Mathematics
2 answers:
fgiga [73]3 years ago
7 0

Answer:

11 is the least number and the when you take the square root of the number you get 21

Step-by-step explanation:

The easiest way to solve this problem is guess and check.

First of all, a perfect square NEEDS to be a WHOLE number

Since 4851 is odd, you cannot divide it by an even number evenly, as it would result in a number with a remainder or leftover decimal amount.

This means you cannot divide by 2, 4,8...etc

We just have to guess and check odd numbers starting at 3.

4581/ 3 = 1527                 sqrt(1527) = 39.07684737    decimal so not this one

4581/ 5 = 916.2               decimal so not this one

4581/ 7 = 654.4285714  decimal so not this one

4581/ 9 = 509                 sqrt(509) = 22.56102835     decimal so not this one

4581/ 11 = 441                  sqrt(441) = 21

This is the first instance where 4581 is divisible by a number that yields a perfect square, so 11 is the least number and the square root of the result is 21.

beks73 [17]3 years ago
6 0

Answer:

The least number should 4851 be divided to get a perfect square number = 11

The square root of the obtained perfect square number is 21

Step-by-step explanation:

Given number = 4851

It can be written as

4851 = 3×1617

4851 = 3×3×539

4851 = 3×3×7×77

4851 = 3×3×7×7×11

4851 = (3×3)×(7×7)×11

It is clear that We should divide the given number by 11 then we get a perfect square number.

4851/11 = 441

441 = 21×21

=> 441 = 21²

=> √441 = √(21²)

=> √441 = 21

<h3><u>Answer:-</u></h3>

The least number should 4851 be divided to get a perfect square number = 11

The square root of the obtained perfect square number is 21

<h3><u>Used Method :-</u></h3>

→ Prime Factorization Method

You might be interested in
Explain where Earth is found in the universe.
Aliun [14]

Answer:

Earth is the planet we live on, one of eight planets in our solar system and the only known place in the universe to support life. Earth is the third planet from the sun, after Mercury and Venus and before Mars. It is about 150 million kilometers (about 93 million miles) from the sun.

Step-by-step explanation:

3 0
3 years ago
The solution to 4.2x = 19.32 is x = ___. 0.28 0.45 4.6 15.12
AVprozaik [17]
The solution to this equation is x=4.6 because 19.32/4.2=4.6
8 0
3 years ago
Read 2 more answers
What is nuclear waste?whats the answer frnds
Ghella [55]
Nuclear waste is a substance that is made from radioactive material or corrosive substances which come together to make a very toxic waste.
7 0
3 years ago
This probability distribution shows the
EastWind [94]

Answer:

this answer is 3 for b i got it right

7 0
2 years ago
The image below is a triangle drawn inside a circle with center O: Which of the following expressions shows the area, in square
s344n2d4d5 [400]
We know that
[area of a circle ]=pi*r²
diameter=4 in
 r=4 in/2-----> 2 in

so
area=pi*2²-----> area of the circle=4*pi in²

the answer is
the area, in square inches, of the circle is <span>3.14 • 2²</span>
8 0
3 years ago
Read 2 more answers
Other questions:
  • Maria is in the state park riding her bike on the new bike trail. She starts at the beginning of the trail and bikes for 4 miles
    13·1 answer
  • I need help to figure this out?<br>can someone help me?
    12·1 answer
  • Help me please I need better grades
    5·1 answer
  • The length of a rectangle is 2 cm more than the width. The perimeter is 20 cm. Find the length and width
    13·1 answer
  • For all real numbers a and b, 2a • b = a2 + b2. <br> True or False ? Explain.
    6·2 answers
  • If 6m by 15m is a pond ,is 40m would be enough for fencing the pond
    9·1 answer
  • A piece of metal is heated to 428°C before it is left to cool. The temperature of the metal falls at a rate of 23°C per minute f
    9·1 answer
  • There are 600 pages in a novel. Rui feng reads 150 pages of the novel on friday and 40% of the remaining pages on sunday express
    5·1 answer
  • Find the surface area<br> HELP
    14·1 answer
  • Slope of -7 and y -intercept of 1
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!