Question

Can someone explain ?

Answer 1

yes they are equal.

Explanation:

instead of saying; squareroot 2 + sq2+ sq2 , it is more logic add the numbers and square root them once.

so, if you add them you will get 6 , which you will square root after.

NOTE that this only applies when you have same number inside the root sign.

hope you will understand.

Answer 2

See below.

Explanation:

Using a calculator, find sqrt(2). You get:

`√(2) = 1.4142`

Now to find

`√(2) + √(2) + √(2) =`

add

1.4142 + 1.4142 + 1.4142 to get 4.2426

The actual sum of

`√(2) + √(2) + √(2)` equals approximately 4.2426

Now let's see what sqrt(6) is equal to.

Use a calculator again, and find sqrt(6).

`√(6) = 2.4495`

As you can see, the correct sum, 4.2426, is very different from 2.4495, so sqrt(6) is not equal to the sum
`√(2) + √(2) + √(2)`.