Answer:
When we have something like:
It is called the n-th root of x.
Where x is called the radicand, and n is called the index.
Then the term:
is called the fourth root of 16.
And in this case, we can see that the index is 4, and the radicand is 16.
At the end, we have the question: what is the 4th root of 16?
this is:
The 4th root of 16 is equal to 2.
The length of side a is 36 feet and side b is 18 feet and side c is 39 feet
<em><u>Solution:</u></em>
Given that perimeter of triangle is 93 feet
The three sides of triangle are a, b, and c
<em><u>Given that Side a of the triangle is twice as long as side b</u></em>
side a = 2 times side b
a = 2b
---- eqn 1
<em><u>Given that Side c is 3 ft longer than side a</u></em>
side c = 3 + side a
c = 3 + a ------ eqn 2
<em><u>The perimeter of triangle is given as:</u></em>
p = a + b + c
Where a, b, c are the length of sides of triangle
Substitute eqn 1 and eqn 2 in above formula
Given that perimeter = 93
Thus length of side a = 36 feet
<em><u>Length of side b :</u></em>
from eqn 1
b = 18 feet
<em><u>Length of side c:</u></em>
From eqn 2,
c = 3 + 36 = 39
c = 39 feet
Thus length of side a is 36 feet and side b is 18 feet and side c is 39 feet