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
Marysya12 [62]
4 years ago
12

A number is squared. The result is squared, then that result is squared. The final number is 6561. What was the original number?

What were the next 2 numbers? Wich of these numbers are perfect squares?
Mathematics
1 answer:
MissTica4 years ago
3 0

The original number is 3.

I actually began with the guess-and-check method, but seeing as that won't always work, let's go over the formal way. To get the original number, you first need to determine how many times the number was squared.

To make it simple, let's use x to focus on the exponents. The number was squared 3 times, so x^2, x^2, x^2. Basically, you need to multiply. 2 * 2 * 2 = 8. So, now find the 8th root of 6561 (depending on the calculator, you can just input it). You should come up with 3. Let me know if this part confuses you.

To find the next 2 numbers, you just need to continue the pattern.

6561^2 = 43,046,721

43,046,721^2 = 1,853,020,188,851,841

To my knowledge, which means this could be wrong, they're both perfect squares. Since the number to get them both were whole numbers, they should both have a square root that equals a whole number.

You might be interested in
Nya covers a rectangular tray with 1-square-inch tiles. She uses 42 tiles, arranged in 7 rows. How many tiles are in each row?
erastova [34]

Answer:

  6

Step-by-step explanation:

Since you're familiar with your multiplication tables, you know that ...

  42 = 6 × 7

There are 6 tiles in each of the 7 rows.

8 0
4 years ago
A tree is 15 meters tall. A seedling next to it is 7 centimeters tall. What is the ratio of the height of the seedling to the he
tiny-mole [99]

Answer:

7/15

Step-by-step explanation:

it right i think if not srry :)

4 0
3 years ago
How will this be writen seven less than the quotient of nineteen and a number
maxonik [38]

19/n - 7 or (19/n) - 7

6 0
3 years ago
Read 2 more answers
16. If the lengths of two sides of a triangle are 6 and 8, which of the following
Dovator [93]
I believe the answer is seven
4 0
3 years ago
Read 2 more answers
Square field has a perimeter of 320. What is its area
IrinaK [193]
Hi,
the area of the square is … 6400
5 0
3 years ago
Read 2 more answers
Other questions:
  • Which expression can be modeled using the number line?
    15·1 answer
  • The opposite of the fraction one third
    6·1 answer
  • The table represents the start of the division of 8x^4+2x^3-7x^2+3x-2 by the indicated divisor. Find the quotient.
    6·2 answers
  • Geometry: solve for x
    13·1 answer
  • Which of the following represents a function?
    10·1 answer
  • 3) BRAINLIEST & 10+ POINTS!
    14·1 answer
  • X+2y=3<br> x-y=3<br> x=? y=?
    14·1 answer
  • a temperature increase of 1 degree fahrenheit is equivalent to a temperature increase of 5/9 degree celsius
    13·1 answer
  • What is the area of the following circle?
    14·2 answers
  • Give answer<br><br><br><br>┻━┻︵└(´_`└)(-_- )ノ⌒┫ ┻ ┣ ┳(ノಥ,_」ಥ)ノ彡┻━┻(-_- )ノ⌒┫ ┻ ┣ ┳​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!