math geniuses!! pls help me!! i have a test tomorrw T_T?

Question

what is a perfect square
for example.

4^ = 2
4 is a perfect square

but then i dont get it still.. could you elaborate more on it and give me examples please and thank you

Answer 1

perfect squares are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, the result of multiplying any number to itself.

ex.
0 x0 = 0
1 x1= 1
2 x2=4

and so forth

Answer 2

A perfect square is a quadratic expression that factors into two identical binomials.

For example, if you multiply these binomials:

(x + 2)(x + 2)

You get:

x2 + 4x + 4

Therefore, the quadratic expression x2 + 4x + 4 is a perfect square since it factors into two identical binomials which are (x + 2) and (x + 2).

Notice that (x + 2)(x + 2) can be written (x + 2)2. So:

x2 + 4x + 4 = (x + 2)2

Here are some more examples of perfect squares:

x2 + 10x + 25 = (x + 5)(x + 5) = (x + 5)2

x2 - 6x + 9 = (x - 3)(x - 3) = (x - 3)2

Answer 3

Anything that is equal to a number times itself is a perfect square.

1 x 1=1, so 1 is a perfect square
2 x 2=4, so 4 is a perfect square
3 x 3=9, so 9 is a perfect square

and so on.

Good luck on your test.

Answer 4

a perfect square is a number which, when you take the square root of it, isn't a funny fraction or endless decimal thing, it turns out to be a whole number.

EG: 4^2 = 16 (16 is a perfect square)

but the square root of 12 is ugly, with a whole shartload of decimals, so it's not a perfect square

Answer 5

a perfect square is a number that when square rooted comes out to be a whole number. 4, 9, 16 are perfect squares because they will be 2,3,4 respectfully. If you try to square root 5 it will be 2. something and thus not a perfect square

Answer 6

All it means is that a perfect square has a square root that is a whole number like 9 has the square root 3.

Answer 7

Grab your calculator.