answersLogoWhite

0


Best Answer

two of the same numbers that are times together will equal that number.

example 49

7 x 7 = 49 - no, that's not what the question is asking, everyone should know that. it's like numbers that are like, 349753469576. how would you be able to tell if they're square numbers?

-

with larger numbers you have to use a calculator. or start multiplying really big numbers together. - then how would you tell without a calculator?

User Avatar

Wiki User

14y ago
This answer is:
User Avatar
More answers
User Avatar

Wiki User

9y ago

There is no easy way to find out if a number is a perfect square. The only two way (that I can think of) is to factorise it. If any factor appears twice, then the original number is a perfect square if and only if its quotient, when divided by the twin-factors is a perfect square.

You could try using a calculator to find the square root, but then you need to be very careful about rounding. I just tried sqrt(31381059610) and got 177147.00000. Is that integer enough for you? Actually not, because with one more decimal digit, it is 177147.000003 so 31381059610 is not a square. In fact it is one more than the square of 3^11.


The digital root of 31381059609 is 45 so it is divisible by 3*3 and we can discard that pair of factors. That is, 31381059609 is a perfect square if and only if 31381059609/9 is one. So we need 3486784401 to be a perfect square.


Repeat that process lots of times and you will end up with 1, which is a perfect square.




This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you tell if a number is a square number?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

How can I tell whether a number is a square number?

You can tell whether a number is a square number by looking at the last digit. A perfect square number ends with either 1, 4, 5, 6, 9 or 00.


How can you tell whether a square root of a whole number is rational or irrational?

If the whole number is a perfect square, its square root is rational. If not, it's not.


WHAT RADICAL EQUALS 59?

Basically, each number is the square root of its square. So, if you square 59, the result will tell you what number you need to take the square root of, to get 59.


What does square root tell you?

It tells you which number, when multiplied by itself, will give you the number you started with.


What does each square tell anout an element in the periodic table?

its atomic number


Is square root of 101 rational or irrational?

It is irrational.


What is the number two called in the square root?

what? are you trying to tell me ''what is the square root of 2'' well if that is a yes than the square root of 2 is 1.4142136


How can you tell the value of a radical is a rational number?

If the number inside the radical is a perfect square or a ratio of perfect squares.


Is there a square root of 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000?

Yes, every positive real number has a real square root. If you would write your number in scientific notation, I could tell you what the root is.


How can you tell if a number is a perfect square?

One way is to get the prime factorization of the number. If every prime occurs an even number of times, it is a square, otherwise, not. Another is to estimate the square root of the number, and square it. If you get more than the number, try a lower estimate; if less, a higher one. Using interval bisection you very quickly zero in on the square root, if it is a whole number. If so, the number is a perfect square. Otherwise, you find 2 consecutive whole numbers between which is the square root, in which case it is not a perfect square.


Is the number 40 a square number?

It is a square number but not a perfect square number.


What is proof of value of square root?

If I tell you that the square root of 2 (for example) is such-and-such, you can verify this by multiplying the number by itself, and seeing whether the result is close to 2.