Answer:
Step-by-step explanation:
x^2-6=0
x^+6=0 ( add six to both sides)
x^2=6
x= the square root of 6 ( to get rid of the exponent you have to do the opposite....which is the square root)
x=2.44948974278
You may have to round if not given the exact number.
Answer:

Step-by-step explanation:
In any square with side length
, the diagonal of the square is equal to
. Since the side length of this square is
, the diagonal is equal to
.
Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states
, where
is the hypotenuse of the triangle, and
and
are the two legs of the triangle.
In this question, both legs are equal to
, and we're solving for the diagonal, which is the hypotenuse in this case:

Good evening ,
______
Answer:
(h ∘h)(10)=10
______
Details:
If h(x)=6-x ,the value of (h ∘h)(10) = h(h(10)) = h(6-10) = h(-4)=6-(-4) =6+10 =10.
:)
The answer is

. I've demonstrated the 'split and combine' method in the image attached.
This principal is based on the fact that you can multiply and divide radicals as you would with regular integers, but you remember that the answers remain as radicals unless the number you're dealing with is a square (e.g. 9, 16, 25).