Question

The Pythagorean Theorem Part 2 Quiz

Answer 1

Explanation:

For example, we have 8, which is not a perfect square

square root of(8)

we divide 8 by prime numbers, until it gets to 1

8/2

4/2

2/2

1

We have divided our number 8 with 2 by 3 times.

Now we pair the numbers.

2 with 2, and the third 2 remains.

the pairs will be in front of the squareroot, and what remains will remain in the squareroot.

squareroot(8) = 2
`√(2)`

Let's take another number

32

Divide it in prime numbers

32/2

16/2

8/2

4/2

2/2

1

We have 2 pairs of 2 and on remaining 2

We multiply the pairs together, and we get 4 in front of the squareroot.

squareroot(32) = 4
`√(2)`

Let's take 21

21/7

3/3 (3 is a prime number also 5,7,11,13,17 etc)

1

-This one doesn't have a short answer that could be written.

take 80

80/2

40/2

20/2

10/2

5/5

1

We have 2 pairs of 2 and a 5

squareroot(80) = 4
`√(5)`