Answer:
(sqrt(7))/3 or decimal 0.8819171036881968635005385845464201419034197276941500601227781530...
Step-by-step explanation:
Simplify the following:
(sqrt(14))/(sqrt(18))
Hint: | Simplify radicals.
sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):
(sqrt(14))/(3 sqrt(2))
Hint: | Multiply numerator and denominator of (sqrt(14))/(3 sqrt(2)) by sqrt(2).
Rationalize the denominator. (sqrt(14))/(3 sqrt(2)) = (sqrt(14))/(3 sqrt(2))×(sqrt(2))/(sqrt(2)) = (sqrt(14) sqrt(2))/(3×2):
(sqrt(14) sqrt(2))/(3×2)
Hint: | Multiply 3 and 2 together.
3×2 = 6:
(sqrt(14) sqrt(2))/6
Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(14) sqrt(2).
sqrt(14) sqrt(2) = sqrt(14×2):
(sqrt(14×2))/6
Hint: | Multiply 14 and 2 together.
14×2 = 28:
(sqrt(28))/6
Hint: | Simplify radicals.
sqrt(28) = sqrt(2^2×7) = 2 sqrt(7):
(2 sqrt(7))/6
Hint: | In (2 sqrt(7))/6, divide 6 in the denominator by 2 in the numerator.
2/6 = 2/(2×3) = 1/3:
Answer: (sqrt(7))/3
Answer:

Step-by-step explanation:
We are given

we can rewrite it as

we know that
2y^2+7y-7 can not be factored
so, we can not reduce this expression
because this is the only way to reduce it
so, we get reduced form as

Answer:
Construct the angle bisector of angle Y
Step-by-step explanation:
-An inscribed circle is defined as the largest circle that can be drawn within the boundaries of a plane figure.
-The first step in constructing an inscribed circle is to bisect any two angles of the plane figure, triangle in this case, as there intersection point will form the circle's center.
=>Hence, the first step is Construct the angle bisector of angle Y or Z or X( whichever you decide on).
Area = length x width
24 = (n-3) x 2
24 = 2n -6
2n = 30
n = 15
Length is 15-3 =12, width is 2
24 = 12 x 2
I think it would be 36 it’s what my friend told me I’m not sure though sorry if it’s wrong.